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Finding the Fourth Proportional to 119,602.29, 165,052.52 and 65,886.19

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Solution

The fourth proportional to 119,602.29, 165,052.52 and 65,886.19 is: 90,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,602.29 : 165,052.52 = 65,886.19 : x
  2. Step 2: Convert to fraction form
    119,602.29/165,052.52 = 65,886.19/x
  3. Step 3: Cross multiply
    119,602.29x = 165,052.52 × 65,886.19
  4. Step 4: Simplify right side
    119,602.29x = 10,874,681,692.70
  5. Step 5: Solve for x
    x = 10,874,681,692.70/119,602.29
  6. Step 6: Final answer
    x = 90,923.69

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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.