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Finding the Fourth Proportional to 137,065.40, 205,943.70 and 87,169.40

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Solution

The fourth proportional to 137,065.40, 205,943.70 and 87,169.40 is: 130,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,065.40 : 205,943.70 = 87,169.40 : x
  2. Step 2: Convert to fraction form
    137,065.40/205,943.70 = 87,169.40/x
  3. Step 3: Cross multiply
    137,065.40x = 205,943.70 × 87,169.40
  4. Step 4: Simplify right side
    137,065.40x = 17,951,988,762.78
  5. Step 5: Solve for x
    x = 17,951,988,762.78/137,065.40
  6. Step 6: Final answer
    x = 130,973.89

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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.