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Finding the Fourth Proportional to 119,542, 164,967.79 and 65,827.15

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Solution

The fourth proportional to 119,542, 164,967.79 and 65,827.15 is: 90,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,542 : 164,967.79 = 65,827.15 : x
  2. Step 2: Convert to fraction form
    119,542/164,967.79 = 65,827.15/x
  3. Step 3: Cross multiply
    119,542x = 164,967.79 × 65,827.15
  4. Step 4: Simplify right side
    119,542x = 10,859,359,457.50
  5. Step 5: Solve for x
    x = 10,859,359,457.50/119,542
  6. Step 6: Final answer
    x = 90,841.37

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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.