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Finding the Fourth Proportional to 129,159.06, 178,241.61 and 71,018.25

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Solution

The fourth proportional to 129,159.06, 178,241.61 and 71,018.25 is: 98,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,159.06 : 178,241.61 = 71,018.25 : x
  2. Step 2: Convert to fraction form
    129,159.06/178,241.61 = 71,018.25/x
  3. Step 3: Cross multiply
    129,159.06x = 178,241.61 × 71,018.25
  4. Step 4: Simplify right side
    129,159.06x = 12,658,407,219.38
  5. Step 5: Solve for x
    x = 12,658,407,219.38/129,159.06
  6. Step 6: Final answer
    x = 98,006.34

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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.