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Finding the Fourth Proportional to 118,531.76, 163,496.76 and 76,022.96

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Solution

The fourth proportional to 118,531.76, 163,496.76 and 76,022.96 is: 104,862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,531.76 : 163,496.76 = 76,022.96 : x
  2. Step 2: Convert to fraction form
    118,531.76/163,496.76 = 76,022.96/x
  3. Step 3: Cross multiply
    118,531.76x = 163,496.76 × 76,022.96
  4. Step 4: Simplify right side
    118,531.76x = 12,429,507,645.61
  5. Step 5: Solve for x
    x = 12,429,507,645.61/118,531.76
  6. Step 6: Final answer
    x = 104,862.26

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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.