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Finding the Fourth Proportional to 231,423.16, 319,272.66 and 145,331.50

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Solution

The fourth proportional to 231,423.16, 319,272.66 and 145,331.50 is: 200,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,423.16 : 319,272.66 = 145,331.50 : x
  2. Step 2: Convert to fraction form
    231,423.16/319,272.66 = 145,331.50/x
  3. Step 3: Cross multiply
    231,423.16x = 319,272.66 × 145,331.50
  4. Step 4: Simplify right side
    231,423.16x = 46,400,374,586.79
  5. Step 5: Solve for x
    x = 46,400,374,586.79/231,423.16
  6. Step 6: Final answer
    x = 200,500.13

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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.