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Finding the Fourth Proportional to 224,952.38, 310,419.51 and 129,443.66

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Solution

The fourth proportional to 224,952.38, 310,419.51 and 129,443.66 is: 178,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,952.38 : 310,419.51 = 129,443.66 : x
  2. Step 2: Convert to fraction form
    224,952.38/310,419.51 = 129,443.66/x
  3. Step 3: Cross multiply
    224,952.38x = 310,419.51 × 129,443.66
  4. Step 4: Simplify right side
    224,952.38x = 40,181,837,509.81
  5. Step 5: Solve for x
    x = 40,181,837,509.81/224,952.38
  6. Step 6: Final answer
    x = 178,623.75

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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.