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Finding the Fourth Proportional to 118,686.84, 177,972.84 and 43,842.23

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Solution

The fourth proportional to 118,686.84, 177,972.84 and 43,842.23 is: 65,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,686.84 : 177,972.84 = 43,842.23 : x
  2. Step 2: Convert to fraction form
    118,686.84/177,972.84 = 43,842.23/x
  3. Step 3: Cross multiply
    118,686.84x = 177,972.84 × 43,842.23
  4. Step 4: Simplify right side
    118,686.84x = 7,802,725,295.17
  5. Step 5: Solve for x
    x = 7,802,725,295.17/118,686.84
  6. Step 6: Final answer
    x = 65,742.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.