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Finding the Fourth Proportional to 119,582, 165,023.16 and 69,310.16

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Solution

The fourth proportional to 119,582, 165,023.16 and 69,310.16 is: 95,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,582 : 165,023.16 = 69,310.16 : x
  2. Step 2: Convert to fraction form
    119,582/165,023.16 = 69,310.16/x
  3. Step 3: Cross multiply
    119,582x = 165,023.16 × 69,310.16
  4. Step 4: Simplify right side
    119,582x = 11,437,781,623.31
  5. Step 5: Solve for x
    x = 11,437,781,623.31/119,582
  6. Step 6: Final answer
    x = 95,648.02

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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.