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Finding the Fourth Proportional to 100,714.90, 138,975.66 and 58,265.50

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Solution

The fourth proportional to 100,714.90, 138,975.66 and 58,265.50 is: 80,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,714.90 : 138,975.66 = 58,265.50 : x
  2. Step 2: Convert to fraction form
    100,714.90/138,975.66 = 58,265.50/x
  3. Step 3: Cross multiply
    100,714.90x = 138,975.66 × 58,265.50
  4. Step 4: Simplify right side
    100,714.90x = 8,097,486,317.73
  5. Step 5: Solve for x
    x = 8,097,486,317.73/100,714.90
  6. Step 6: Final answer
    x = 80,400.08

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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.