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Finding the Fourth Proportional to 151,710.80, 227,047.80 and 133,048.40

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Solution

The fourth proportional to 151,710.80, 227,047.80 and 133,048.40 is: 199,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,710.80 : 227,047.80 = 133,048.40 : x
  2. Step 2: Convert to fraction form
    151,710.80/227,047.80 = 133,048.40/x
  3. Step 3: Cross multiply
    151,710.80x = 227,047.80 × 133,048.40
  4. Step 4: Simplify right side
    151,710.80x = 30,208,346,513.52
  5. Step 5: Solve for x
    x = 30,208,346,513.52/151,710.80
  6. Step 6: Final answer
    x = 199,117.97

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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.