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Finding the Fourth Proportional to 162,833.34, 224,722.47 and 102,455.74

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Solution

The fourth proportional to 162,833.34, 224,722.47 and 102,455.74 is: 141,396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,833.34 : 224,722.47 = 102,455.74 : x
  2. Step 2: Convert to fraction form
    162,833.34/224,722.47 = 102,455.74/x
  3. Step 3: Cross multiply
    162,833.34x = 224,722.47 × 102,455.74
  4. Step 4: Simplify right side
    162,833.34x = 23,024,105,834.87
  5. Step 5: Solve for x
    x = 23,024,105,834.87/162,833.34
  6. Step 6: Final answer
    x = 141,396.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.