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Finding the Fourth Proportional to 231,212.61, 319,036.32 and 140,520.15

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Solution

The fourth proportional to 231,212.61, 319,036.32 and 140,520.15 is: 193,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,212.61 : 319,036.32 = 140,520.15 : x
  2. Step 2: Convert to fraction form
    231,212.61/319,036.32 = 140,520.15/x
  3. Step 3: Cross multiply
    231,212.61x = 319,036.32 × 140,520.15
  4. Step 4: Simplify right side
    231,212.61x = 44,831,031,541.85
  5. Step 5: Solve for x
    x = 44,831,031,541.85/231,212.61
  6. Step 6: Final answer
    x = 193,895.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.