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Finding the Fourth Proportional to 275,496.30, 413,244.45 and 98,009.10

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Solution

The fourth proportional to 275,496.30, 413,244.45 and 98,009.10 is: 147,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,496.30 : 413,244.45 = 98,009.10 : x
  2. Step 2: Convert to fraction form
    275,496.30/413,244.45 = 98,009.10/x
  3. Step 3: Cross multiply
    275,496.30x = 413,244.45 × 98,009.10
  4. Step 4: Simplify right side
    275,496.30x = 40,501,716,624.50
  5. Step 5: Solve for x
    x = 40,501,716,624.50/275,496.30
  6. Step 6: Final answer
    x = 147,013.65

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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.