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Finding the Fourth Proportional to 151,637.58, 209,217.87 and 97,924.86

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Solution

The fourth proportional to 151,637.58, 209,217.87 and 97,924.86 is: 135,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,637.58 : 209,217.87 = 97,924.86 : x
  2. Step 2: Convert to fraction form
    151,637.58/209,217.87 = 97,924.86/x
  3. Step 3: Cross multiply
    151,637.58x = 209,217.87 × 97,924.86
  4. Step 4: Simplify right side
    151,637.58x = 20,487,630,629.25
  5. Step 5: Solve for x
    x = 20,487,630,629.25/151,637.58
  6. Step 6: Final answer
    x = 135,109.19

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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.