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Finding the Fourth Proportional to 149,833.60, 225,009.60 and 97,475.20

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Solution

The fourth proportional to 149,833.60, 225,009.60 and 97,475.20 is: 146,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,833.60 : 225,009.60 = 97,475.20 : x
  2. Step 2: Convert to fraction form
    149,833.60/225,009.60 = 97,475.20/x
  3. Step 3: Cross multiply
    149,833.60x = 225,009.60 × 97,475.20
  4. Step 4: Simplify right side
    149,833.60x = 21,932,855,761.92
  5. Step 5: Solve for x
    x = 21,932,855,761.92/149,833.60
  6. Step 6: Final answer
    x = 146,381.42

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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.