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Finding the Fourth Proportional to 151,689.18, 209,330.91 and 83,706.14

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Solution

The fourth proportional to 151,689.18, 209,330.91 and 83,706.14 is: 115,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,689.18 : 209,330.91 = 83,706.14 : x
  2. Step 2: Convert to fraction form
    151,689.18/209,330.91 = 83,706.14/x
  3. Step 3: Cross multiply
    151,689.18x = 209,330.91 × 83,706.14
  4. Step 4: Simplify right side
    151,689.18x = 17,522,281,412.13
  5. Step 5: Solve for x
    x = 17,522,281,412.13/151,689.18
  6. Step 6: Final answer
    x = 115,514.38

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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.