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Finding the Fourth Proportional to 135,079.71, 186,404.73 and 77,737.50

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Solution

The fourth proportional to 135,079.71, 186,404.73 and 77,737.50 is: 107,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,079.71 : 186,404.73 = 77,737.50 : x
  2. Step 2: Convert to fraction form
    135,079.71/186,404.73 = 77,737.50/x
  3. Step 3: Cross multiply
    135,079.71x = 186,404.73 × 77,737.50
  4. Step 4: Simplify right side
    135,079.71x = 14,490,637,698.38
  5. Step 5: Solve for x
    x = 14,490,637,698.38/135,079.71
  6. Step 6: Final answer
    x = 107,274.72

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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.