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Finding the Fourth Proportional to 231,604.32, 319,360.14 and 150,882.15

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Solution

The fourth proportional to 231,604.32, 319,360.14 and 150,882.15 is: 208,052.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,604.32 : 319,360.14 = 150,882.15 : x
  2. Step 2: Convert to fraction form
    231,604.32/319,360.14 = 150,882.15/x
  3. Step 3: Cross multiply
    231,604.32x = 319,360.14 × 150,882.15
  4. Step 4: Simplify right side
    231,604.32x = 48,185,744,547.50
  5. Step 5: Solve for x
    x = 48,185,744,547.50/231,604.32
  6. Step 6: Final answer
    x = 208,052.01

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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.