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Finding the Fourth Proportional to 119,584, 165,025.92 and 69,312.16

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Solution

The fourth proportional to 119,584, 165,025.92 and 69,312.16 is: 95,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,584 : 165,025.92 = 69,312.16 : x
  2. Step 2: Convert to fraction form
    119,584/165,025.92 = 69,312.16/x
  3. Step 3: Cross multiply
    119,584x = 165,025.92 × 69,312.16
  4. Step 4: Simplify right side
    119,584x = 11,438,302,971.19
  5. Step 5: Solve for x
    x = 11,438,302,971.19/119,584
  6. Step 6: Final answer
    x = 95,650.78

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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.