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Finding the Fourth Proportional to 153,763.84, 212,193.90 and 86,695.84

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Solution

The fourth proportional to 153,763.84, 212,193.90 and 86,695.84 is: 119,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,763.84 : 212,193.90 = 86,695.84 : x
  2. Step 2: Convert to fraction form
    153,763.84/212,193.90 = 86,695.84/x
  3. Step 3: Cross multiply
    153,763.84x = 212,193.90 × 86,695.84
  4. Step 4: Simplify right side
    153,763.84x = 18,396,328,403.38
  5. Step 5: Solve for x
    x = 18,396,328,403.38/153,763.84
  6. Step 6: Final answer
    x = 119,640.15

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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.