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Finding the Fourth Proportional to 98,475.46, 147,713.20 and 78,661.24

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Solution

The fourth proportional to 98,475.46, 147,713.20 and 78,661.24 is: 117,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,475.46 : 147,713.20 = 78,661.24 : x
  2. Step 2: Convert to fraction form
    98,475.46/147,713.20 = 78,661.24/x
  3. Step 3: Cross multiply
    98,475.46x = 147,713.20 × 78,661.24
  4. Step 4: Simplify right side
    98,475.46x = 11,619,303,476.37
  5. Step 5: Solve for x
    x = 11,619,303,476.37/98,475.46
  6. Step 6: Final answer
    x = 117,991.87

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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.