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Finding the Fourth Proportional to 151,805.70, 227,708.55 and 106,534.80

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Solution

The fourth proportional to 151,805.70, 227,708.55 and 106,534.80 is: 159,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,805.70 : 227,708.55 = 106,534.80 : x
  2. Step 2: Convert to fraction form
    151,805.70/227,708.55 = 106,534.80/x
  3. Step 3: Cross multiply
    151,805.70x = 227,708.55 × 106,534.80
  4. Step 4: Simplify right side
    151,805.70x = 24,258,884,832.54
  5. Step 5: Solve for x
    x = 24,258,884,832.54/151,805.70
  6. Step 6: Final answer
    x = 159,802.20

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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.