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Finding the Fourth Proportional to 119,264.38, 164,584.90 and 65,548.96

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Solution

The fourth proportional to 119,264.38, 164,584.90 and 65,548.96 is: 90,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,264.38 : 164,584.90 = 65,548.96 : x
  2. Step 2: Convert to fraction form
    119,264.38/164,584.90 = 65,548.96/x
  3. Step 3: Cross multiply
    119,264.38x = 164,584.90 × 65,548.96
  4. Step 4: Simplify right side
    119,264.38x = 10,788,369,026.70
  5. Step 5: Solve for x
    x = 10,788,369,026.70/119,264.38
  6. Step 6: Final answer
    x = 90,457.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.