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Finding the Fourth Proportional to 232,973.60, 349,167.92 and 99,697.12

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Solution

The fourth proportional to 232,973.60, 349,167.92 and 99,697.12 is: 149,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,973.60 : 349,167.92 = 99,697.12 : x
  2. Step 2: Convert to fraction form
    232,973.60/349,167.92 = 99,697.12/x
  3. Step 3: Cross multiply
    232,973.60x = 349,167.92 × 99,697.12
  4. Step 4: Simplify right side
    232,973.60x = 34,811,036,020.39
  5. Step 5: Solve for x
    x = 34,811,036,020.39/232,973.60
  6. Step 6: Final answer
    x = 149,420.52

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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.