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Finding the Fourth Proportional to 114,265.89, 157,613.45 and 71,750.61

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Solution

The fourth proportional to 114,265.89, 157,613.45 and 71,750.61 is: 98,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,265.89 : 157,613.45 = 71,750.61 : x
  2. Step 2: Convert to fraction form
    114,265.89/157,613.45 = 71,750.61/x
  3. Step 3: Cross multiply
    114,265.89x = 157,613.45 × 71,750.61
  4. Step 4: Simplify right side
    114,265.89x = 11,308,860,822.95
  5. Step 5: Solve for x
    x = 11,308,860,822.95/114,265.89
  6. Step 6: Final answer
    x = 98,969.70

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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.