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Finding the Fourth Proportional to 142,504.80, 213,649.20 and 72,434.40

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Solution

The fourth proportional to 142,504.80, 213,649.20 and 72,434.40 is: 108,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,504.80 : 213,649.20 = 72,434.40 : x
  2. Step 2: Convert to fraction form
    142,504.80/213,649.20 = 72,434.40/x
  3. Step 3: Cross multiply
    142,504.80x = 213,649.20 × 72,434.40
  4. Step 4: Simplify right side
    142,504.80x = 15,475,551,612.48
  5. Step 5: Solve for x
    x = 15,475,551,612.48/142,504.80
  6. Step 6: Final answer
    x = 108,596.70

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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.