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Finding the Fourth Proportional to 151,742.80, 227,095.80 and 133,080.40

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Solution

The fourth proportional to 151,742.80, 227,095.80 and 133,080.40 is: 199,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,742.80 : 227,095.80 = 133,080.40 : x
  2. Step 2: Convert to fraction form
    151,742.80/227,095.80 = 133,080.40/x
  3. Step 3: Cross multiply
    151,742.80x = 227,095.80 × 133,080.40
  4. Step 4: Simplify right side
    151,742.80x = 30,221,999,902.32
  5. Step 5: Solve for x
    x = 30,221,999,902.32/151,742.80
  6. Step 6: Final answer
    x = 199,165.96

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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.