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Finding the Fourth Proportional to 275,382.80, 413,117.24 and 117,612.08

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Solution

The fourth proportional to 275,382.80, 413,117.24 and 117,612.08 is: 176,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,382.80 : 413,117.24 = 117,612.08 : x
  2. Step 2: Convert to fraction form
    275,382.80/413,117.24 = 117,612.08/x
  3. Step 3: Cross multiply
    275,382.80x = 413,117.24 × 117,612.08
  4. Step 4: Simplify right side
    275,382.80x = 48,587,577,880.26
  5. Step 5: Solve for x
    x = 48,587,577,880.26/275,382.80
  6. Step 6: Final answer
    x = 176,436.50

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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.