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Finding the Fourth Proportional to 161,471.40, 241,437.92 and 147,354.81

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Solution

The fourth proportional to 161,471.40, 241,437.92 and 147,354.81 is: 220,330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,471.40 : 241,437.92 = 147,354.81 : x
  2. Step 2: Convert to fraction form
    161,471.40/241,437.92 = 147,354.81/x
  3. Step 3: Cross multiply
    161,471.40x = 241,437.92 × 147,354.81
  4. Step 4: Simplify right side
    161,471.40x = 35,577,038,091.62
  5. Step 5: Solve for x
    x = 35,577,038,091.62/161,471.40
  6. Step 6: Final answer
    x = 220,330.28

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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.