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Finding the Fourth Proportional to 151,707.80, 227,043.30 and 133,045.40

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Solution

The fourth proportional to 151,707.80, 227,043.30 and 133,045.40 is: 199,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,707.80 : 227,043.30 = 133,045.40 : x
  2. Step 2: Convert to fraction form
    151,707.80/227,043.30 = 133,045.40/x
  3. Step 3: Cross multiply
    151,707.80x = 227,043.30 × 133,045.40
  4. Step 4: Simplify right side
    151,707.80x = 30,207,066,665.82
  5. Step 5: Solve for x
    x = 30,207,066,665.82/151,707.80
  6. Step 6: Final answer
    x = 199,113.47

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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.