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Finding the Fourth Proportional to 136,565.52, 188,461.20 and 76,140

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Solution

The fourth proportional to 136,565.52, 188,461.20 and 76,140 is: 105,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,565.52 : 188,461.20 = 76,140 : x
  2. Step 2: Convert to fraction form
    136,565.52/188,461.20 = 76,140/x
  3. Step 3: Cross multiply
    136,565.52x = 188,461.20 × 76,140
  4. Step 4: Simplify right side
    136,565.52x = 14,349,435,768
  5. Step 5: Solve for x
    x = 14,349,435,768/136,565.52
  6. Step 6: Final answer
    x = 105,073.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.