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Finding the Fourth Proportional to 119,613, 165,073.50 and 65,898.12

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Solution

The fourth proportional to 119,613, 165,073.50 and 65,898.12 is: 90,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,613 : 165,073.50 = 65,898.12 : x
  2. Step 2: Convert to fraction form
    119,613/165,073.50 = 65,898.12/x
  3. Step 3: Cross multiply
    119,613x = 165,073.50 × 65,898.12
  4. Step 4: Simplify right side
    119,613x = 10,878,033,311.82
  5. Step 5: Solve for x
    x = 10,878,033,311.82/119,613
  6. Step 6: Final answer
    x = 90,943.57

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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.