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Finding the Fourth Proportional to 134,142.50, 185,116.65 and 77,557.52

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Solution

The fourth proportional to 134,142.50, 185,116.65 and 77,557.52 is: 107,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,142.50 : 185,116.65 = 77,557.52 : x
  2. Step 2: Convert to fraction form
    134,142.50/185,116.65 = 77,557.52/x
  3. Step 3: Cross multiply
    134,142.50x = 185,116.65 × 77,557.52
  4. Step 4: Simplify right side
    134,142.50x = 14,357,188,284.71
  5. Step 5: Solve for x
    x = 14,357,188,284.71/134,142.50
  6. Step 6: Final answer
    x = 107,029.38

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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.