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Finding the Fourth Proportional to 275,566.19, 413,224.61 and 98,077.91

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Solution

The fourth proportional to 275,566.19, 413,224.61 and 98,077.91 is: 147,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,566.19 : 413,224.61 = 98,077.91 : x
  2. Step 2: Convert to fraction form
    275,566.19/413,224.61 = 98,077.91/x
  3. Step 3: Cross multiply
    275,566.19x = 413,224.61 × 98,077.91
  4. Step 4: Simplify right side
    275,566.19x = 40,528,203,552.85
  5. Step 5: Solve for x
    x = 40,528,203,552.85/275,566.19
  6. Step 6: Final answer
    x = 147,072.48

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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.