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Finding the Fourth Proportional to 275,597.10, 413,298.45 and 98,109.90

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Solution

The fourth proportional to 275,597.10, 413,298.45 and 98,109.90 is: 147,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,597.10 : 413,298.45 = 98,109.90 : x
  2. Step 2: Convert to fraction form
    275,597.10/413,298.45 = 98,109.90/x
  3. Step 3: Cross multiply
    275,597.10x = 413,298.45 × 98,109.90
  4. Step 4: Simplify right side
    275,597.10x = 40,548,669,599.66
  5. Step 5: Solve for x
    x = 40,548,669,599.66/275,597.10
  6. Step 6: Final answer
    x = 147,130.25

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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.