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Finding the Fourth Proportional to 119,349.18, 164,727 and 75,713.40

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Solution

The fourth proportional to 119,349.18, 164,727 and 75,713.40 is: 104,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,349.18 : 164,727 = 75,713.40 : x
  2. Step 2: Convert to fraction form
    119,349.18/164,727 = 75,713.40/x
  3. Step 3: Cross multiply
    119,349.18x = 164,727 × 75,713.40
  4. Step 4: Simplify right side
    119,349.18x = 12,472,041,241.80
  5. Step 5: Solve for x
    x = 12,472,041,241.80/119,349.18
  6. Step 6: Final answer
    x = 104,500.44

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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.