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Finding the Fourth Proportional to 151,807.20, 227,710.80 and 106,536.30

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Solution

The fourth proportional to 151,807.20, 227,710.80 and 106,536.30 is: 159,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,807.20 : 227,710.80 = 106,536.30 : x
  2. Step 2: Convert to fraction form
    151,807.20/227,710.80 = 106,536.30/x
  3. Step 3: Cross multiply
    151,807.20x = 227,710.80 × 106,536.30
  4. Step 4: Simplify right side
    151,807.20x = 24,259,466,102.04
  5. Step 5: Solve for x
    x = 24,259,466,102.04/151,807.20
  6. Step 6: Final answer
    x = 159,804.45

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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.