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Finding the Fourth Proportional to 231,539.41, 319,574.01 and 150,822.91

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Solution

The fourth proportional to 231,539.41, 319,574.01 and 150,822.91 is: 208,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,539.41 : 319,574.01 = 150,822.91 : x
  2. Step 2: Convert to fraction form
    231,539.41/319,574.01 = 150,822.91/x
  3. Step 3: Cross multiply
    231,539.41x = 319,574.01 × 150,822.91
  4. Step 4: Simplify right side
    231,539.41x = 48,199,082,148.57
  5. Step 5: Solve for x
    x = 48,199,082,148.57/231,539.41
  6. Step 6: Final answer
    x = 208,167.94

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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.