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Finding the Fourth Proportional to 114,319.67, 157,708.71 and 74,046.38

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Solution

The fourth proportional to 114,319.67, 157,708.71 and 74,046.38 is: 102,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,319.67 : 157,708.71 = 74,046.38 : x
  2. Step 2: Convert to fraction form
    114,319.67/157,708.71 = 74,046.38/x
  3. Step 3: Cross multiply
    114,319.67x = 157,708.71 × 74,046.38
  4. Step 4: Simplify right side
    114,319.67x = 11,677,758,281.43
  5. Step 5: Solve for x
    x = 11,677,758,281.43/114,319.67
  6. Step 6: Final answer
    x = 102,150.04

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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.