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Finding the Fourth Proportional to 357,232.14, 535,713.21 and 143,927.73

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Solution

The fourth proportional to 357,232.14, 535,713.21 and 143,927.73 is: 215,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,232.14 : 535,713.21 = 143,927.73 : x
  2. Step 2: Convert to fraction form
    357,232.14/535,713.21 = 143,927.73/x
  3. Step 3: Cross multiply
    357,232.14x = 535,713.21 × 143,927.73
  4. Step 4: Simplify right side
    357,232.14x = 77,103,986,246.31
  5. Step 5: Solve for x
    x = 77,103,986,246.31/357,232.14
  6. Step 6: Final answer
    x = 215,837.20

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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.