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Finding the Fourth Proportional to 358,162.56, 537,177.84 and 144,874.56

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Solution

The fourth proportional to 358,162.56, 537,177.84 and 144,874.56 is: 217,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,162.56 : 537,177.84 = 144,874.56 : x
  2. Step 2: Convert to fraction form
    358,162.56/537,177.84 = 144,874.56/x
  3. Step 3: Cross multiply
    358,162.56x = 537,177.84 × 144,874.56
  4. Step 4: Simplify right side
    358,162.56x = 77,823,403,211.75
  5. Step 5: Solve for x
    x = 77,823,403,211.75/358,162.56
  6. Step 6: Final answer
    x = 217,285.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.