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Finding the Fourth Proportional to 275,763.48, 413,543.16 and 98,223.36

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Solution

The fourth proportional to 275,763.48, 413,543.16 and 98,223.36 is: 147,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,763.48 : 413,543.16 = 98,223.36 : x
  2. Step 2: Convert to fraction form
    275,763.48/413,543.16 = 98,223.36/x
  3. Step 3: Cross multiply
    275,763.48x = 413,543.16 × 98,223.36
  4. Step 4: Simplify right side
    275,763.48x = 40,619,598,680.22
  5. Step 5: Solve for x
    x = 40,619,598,680.22/275,763.48
  6. Step 6: Final answer
    x = 147,298.69

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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.