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Finding the Fourth Proportional to 162,530.26, 224,315.70 and 98,855.74

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Solution

The fourth proportional to 162,530.26, 224,315.70 and 98,855.74 is: 136,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,530.26 : 224,315.70 = 98,855.74 : x
  2. Step 2: Convert to fraction form
    162,530.26/224,315.70 = 98,855.74/x
  3. Step 3: Cross multiply
    162,530.26x = 224,315.70 × 98,855.74
  4. Step 4: Simplify right side
    162,530.26x = 22,174,894,517.12
  5. Step 5: Solve for x
    x = 22,174,894,517.12/162,530.26
  6. Step 6: Final answer
    x = 136,435.48

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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.