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Finding the Fourth Proportional to 231,505.16, 319,527.01 and 140,890.35

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Solution

The fourth proportional to 231,505.16, 319,527.01 and 140,890.35 is: 194,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,505.16 : 319,527.01 = 140,890.35 : x
  2. Step 2: Convert to fraction form
    231,505.16/319,527.01 = 140,890.35/x
  3. Step 3: Cross multiply
    231,505.16x = 319,527.01 × 140,890.35
  4. Step 4: Simplify right side
    231,505.16x = 45,018,273,647.69
  5. Step 5: Solve for x
    x = 45,018,273,647.69/231,505.16
  6. Step 6: Final answer
    x = 194,459.05

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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.