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Finding the Fourth Proportional to 97,712.90, 137,109.10 and 97,712.90

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Solution

The fourth proportional to 97,712.90, 137,109.10 and 97,712.90 is: 137,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,712.90 : 137,109.10 = 97,712.90 : x
  2. Step 2: Convert to fraction form
    97,712.90/137,109.10 = 97,712.90/x
  3. Step 3: Cross multiply
    97,712.90x = 137,109.10 × 97,712.90
  4. Step 4: Simplify right side
    97,712.90x = 13,397,327,777.39
  5. Step 5: Solve for x
    x = 13,397,327,777.39/97,712.90
  6. Step 6: Final answer
    x = 137,109.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.