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Finding the Fourth Proportional to 98,243.32, 147,240.90 and 42,016.60

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Solution

The fourth proportional to 98,243.32, 147,240.90 and 42,016.60 is: 62,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,243.32 : 147,240.90 = 42,016.60 : x
  2. Step 2: Convert to fraction form
    98,243.32/147,240.90 = 42,016.60/x
  3. Step 3: Cross multiply
    98,243.32x = 147,240.90 × 42,016.60
  4. Step 4: Simplify right side
    98,243.32x = 6,186,561,998.94
  5. Step 5: Solve for x
    x = 6,186,561,998.94/98,243.32
  6. Step 6: Final answer
    x = 62,971.83

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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.