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Finding the Fourth Proportional to 157,644.86, 236,560.67 and 147,670.52

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Solution

The fourth proportional to 157,644.86, 236,560.67 and 147,670.52 is: 221,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,644.86 : 236,560.67 = 147,670.52 : x
  2. Step 2: Convert to fraction form
    157,644.86/236,560.67 = 147,670.52/x
  3. Step 3: Cross multiply
    157,644.86x = 236,560.67 × 147,670.52
  4. Step 4: Simplify right side
    157,644.86x = 34,933,037,113.71
  5. Step 5: Solve for x
    x = 34,933,037,113.71/157,644.86
  6. Step 6: Final answer
    x = 221,593.25

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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.