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Finding the Fourth Proportional to 158,711.40, 237,807.90 and 136,420.20

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Solution

The fourth proportional to 158,711.40, 237,807.90 and 136,420.20 is: 204,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,711.40 : 237,807.90 = 136,420.20 : x
  2. Step 2: Convert to fraction form
    158,711.40/237,807.90 = 136,420.20/x
  3. Step 3: Cross multiply
    158,711.40x = 237,807.90 × 136,420.20
  4. Step 4: Simplify right side
    158,711.40x = 32,441,801,279.58
  5. Step 5: Solve for x
    x = 32,441,801,279.58/158,711.40
  6. Step 6: Final answer
    x = 204,407.50

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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.