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Finding the Fourth Proportional to 151,808.80, 227,713.20 and 116,816.80

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Solution

The fourth proportional to 151,808.80, 227,713.20 and 116,816.80 is: 175,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,808.80 : 227,713.20 = 116,816.80 : x
  2. Step 2: Convert to fraction form
    151,808.80/227,713.20 = 116,816.80/x
  3. Step 3: Cross multiply
    151,808.80x = 227,713.20 × 116,816.80
  4. Step 4: Simplify right side
    151,808.80x = 26,600,727,341.76
  5. Step 5: Solve for x
    x = 26,600,727,341.76/151,808.80
  6. Step 6: Final answer
    x = 175,225.20

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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.