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Finding the Fourth Proportional to 259,013.30, 357,463.94 and 151,576.92

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Solution

The fourth proportional to 259,013.30, 357,463.94 and 151,576.92 is: 209,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,013.30 : 357,463.94 = 151,576.92 : x
  2. Step 2: Convert to fraction form
    259,013.30/357,463.94 = 151,576.92/x
  3. Step 3: Cross multiply
    259,013.30x = 357,463.94 × 151,576.92
  4. Step 4: Simplify right side
    259,013.30x = 54,183,282,278.38
  5. Step 5: Solve for x
    x = 54,183,282,278.38/259,013.30
  6. Step 6: Final answer
    x = 209,191.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.