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Finding the Fourth Proportional to 357,115.44, 535,812.55 and 157,295.73

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Solution

The fourth proportional to 357,115.44, 535,812.55 and 157,295.73 is: 236,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,115.44 : 535,812.55 = 157,295.73 : x
  2. Step 2: Convert to fraction form
    357,115.44/535,812.55 = 157,295.73/x
  3. Step 3: Cross multiply
    357,115.44x = 535,812.55 × 157,295.73
  4. Step 4: Simplify right side
    357,115.44x = 84,281,022,729.87
  5. Step 5: Solve for x
    x = 84,281,022,729.87/357,115.44
  6. Step 6: Final answer
    x = 236,004.98

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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.