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Finding the Fourth Proportional to 110,498.43, 165,830.14 and 74,875.25

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Solution

The fourth proportional to 110,498.43, 165,830.14 and 74,875.25 is: 112,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,498.43 : 165,830.14 = 74,875.25 : x
  2. Step 2: Convert to fraction form
    110,498.43/165,830.14 = 74,875.25/x
  3. Step 3: Cross multiply
    110,498.43x = 165,830.14 × 74,875.25
  4. Step 4: Simplify right side
    110,498.43x = 12,416,573,277.03
  5. Step 5: Solve for x
    x = 12,416,573,277.03/110,498.43
  6. Step 6: Final answer
    x = 112,368.78

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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.