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Finding the Fourth Proportional to 224,761.32, 310,180.08 and 129,268.14

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Solution

The fourth proportional to 224,761.32, 310,180.08 and 129,268.14 is: 178,395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,761.32 : 310,180.08 = 129,268.14 : x
  2. Step 2: Convert to fraction form
    224,761.32/310,180.08 = 129,268.14/x
  3. Step 3: Cross multiply
    224,761.32x = 310,180.08 × 129,268.14
  4. Step 4: Simplify right side
    224,761.32x = 40,096,402,006.65
  5. Step 5: Solve for x
    x = 40,096,402,006.65/224,761.32
  6. Step 6: Final answer
    x = 178,395.47

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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.