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Finding the Fourth Proportional to 151,716.80, 227,575.20 and 56,946.80

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Solution

The fourth proportional to 151,716.80, 227,575.20 and 56,946.80 is: 85,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,716.80 : 227,575.20 = 56,946.80 : x
  2. Step 2: Convert to fraction form
    151,716.80/227,575.20 = 56,946.80/x
  3. Step 3: Cross multiply
    151,716.80x = 227,575.20 × 56,946.80
  4. Step 4: Simplify right side
    151,716.80x = 12,959,679,399.36
  5. Step 5: Solve for x
    x = 12,959,679,399.36/151,716.80
  6. Step 6: Final answer
    x = 85,420.20

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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.