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Finding the Fourth Proportional to 150,000.32, 224,931.12 and 55,206.56

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Solution

The fourth proportional to 150,000.32, 224,931.12 and 55,206.56 is: 82,784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,000.32 : 224,931.12 = 55,206.56 : x
  2. Step 2: Convert to fraction form
    150,000.32/224,931.12 = 55,206.56/x
  3. Step 3: Cross multiply
    150,000.32x = 224,931.12 × 55,206.56
  4. Step 4: Simplify right side
    150,000.32x = 12,417,673,372.15
  5. Step 5: Solve for x
    x = 12,417,673,372.15/150,000.32
  6. Step 6: Final answer
    x = 82,784.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.