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Finding the Fourth Proportional to 165,019.80, 247,490.06 and 76,188

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Solution

The fourth proportional to 165,019.80, 247,490.06 and 76,188 is: 114,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,019.80 : 247,490.06 = 76,188 : x
  2. Step 2: Convert to fraction form
    165,019.80/247,490.06 = 76,188/x
  3. Step 3: Cross multiply
    165,019.80x = 247,490.06 × 76,188
  4. Step 4: Simplify right side
    165,019.80x = 18,855,772,691.28
  5. Step 5: Solve for x
    x = 18,855,772,691.28/165,019.80
  6. Step 6: Final answer
    x = 114,263.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.