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Finding the Fourth Proportional to 231,117.96, 319,041.02 and 140,502.87

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Solution

The fourth proportional to 231,117.96, 319,041.02 and 140,502.87 is: 193,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,117.96 : 319,041.02 = 140,502.87 : x
  2. Step 2: Convert to fraction form
    231,117.96/319,041.02 = 140,502.87/x
  3. Step 3: Cross multiply
    231,117.96x = 319,041.02 × 140,502.87
  4. Step 4: Simplify right side
    231,117.96x = 44,826,178,255.21
  5. Step 5: Solve for x
    x = 44,826,178,255.21/231,117.96
  6. Step 6: Final answer
    x = 193,953.68

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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.