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Finding the Fourth Proportional to 357,008.06, 535,490.18 and 146,640.54

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Solution

The fourth proportional to 357,008.06, 535,490.18 and 146,640.54 is: 219,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,008.06 : 535,490.18 = 146,640.54 : x
  2. Step 2: Convert to fraction form
    357,008.06/535,490.18 = 146,640.54/x
  3. Step 3: Cross multiply
    357,008.06x = 535,490.18 × 146,640.54
  4. Step 4: Simplify right side
    357,008.06x = 78,524,569,159.90
  5. Step 5: Solve for x
    x = 78,524,569,159.90/357,008.06
  6. Step 6: Final answer
    x = 219,951.81

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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.