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Finding the Fourth Proportional to 137,063.40, 205,940.70 and 87,167.40

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Solution

The fourth proportional to 137,063.40, 205,940.70 and 87,167.40 is: 130,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,063.40 : 205,940.70 = 87,167.40 : x
  2. Step 2: Convert to fraction form
    137,063.40/205,940.70 = 87,167.40/x
  3. Step 3: Cross multiply
    137,063.40x = 205,940.70 × 87,167.40
  4. Step 4: Simplify right side
    137,063.40x = 17,951,315,373.18
  5. Step 5: Solve for x
    x = 17,951,315,373.18/137,063.40
  6. Step 6: Final answer
    x = 130,970.89

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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.