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Finding the Fourth Proportional to 98,476.46, 147,714.70 and 78,662.24

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Solution

The fourth proportional to 98,476.46, 147,714.70 and 78,662.24 is: 117,993.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,476.46 : 147,714.70 = 78,662.24 : x
  2. Step 2: Convert to fraction form
    98,476.46/147,714.70 = 78,662.24/x
  3. Step 3: Cross multiply
    98,476.46x = 147,714.70 × 78,662.24
  4. Step 4: Simplify right side
    98,476.46x = 11,619,569,182.93
  5. Step 5: Solve for x
    x = 11,619,569,182.93/98,476.46
  6. Step 6: Final answer
    x = 117,993.37

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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.