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Finding the Fourth Proportional to 232,898.60, 349,421.76 and 83,135.60

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Solution

The fourth proportional to 232,898.60, 349,421.76 and 83,135.60 is: 124,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,898.60 : 349,421.76 = 83,135.60 : x
  2. Step 2: Convert to fraction form
    232,898.60/349,421.76 = 83,135.60/x
  3. Step 3: Cross multiply
    232,898.60x = 349,421.76 × 83,135.60
  4. Step 4: Simplify right side
    232,898.60x = 29,049,387,670.66
  5. Step 5: Solve for x
    x = 29,049,387,670.66/232,898.60
  6. Step 6: Final answer
    x = 124,729.77

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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.