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Finding the Fourth Proportional to 119,456.16, 164,849.52 and 65,745

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Solution

The fourth proportional to 119,456.16, 164,849.52 and 65,745 is: 90,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,456.16 : 164,849.52 = 65,745 : x
  2. Step 2: Convert to fraction form
    119,456.16/164,849.52 = 65,745/x
  3. Step 3: Cross multiply
    119,456.16x = 164,849.52 × 65,745
  4. Step 4: Simplify right side
    119,456.16x = 10,838,031,692.40
  5. Step 5: Solve for x
    x = 10,838,031,692.40/119,456.16
  6. Step 6: Final answer
    x = 90,728.11

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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.