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Finding the Fourth Proportional to 275,547.56, 413,360.22 and 98,002.04

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Solution

The fourth proportional to 275,547.56, 413,360.22 and 98,002.04 is: 147,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,547.56 : 413,360.22 = 98,002.04 : x
  2. Step 2: Convert to fraction form
    275,547.56/413,360.22 = 98,002.04/x
  3. Step 3: Cross multiply
    275,547.56x = 413,360.22 × 98,002.04
  4. Step 4: Simplify right side
    275,547.56x = 40,510,144,814.85
  5. Step 5: Solve for x
    x = 40,510,144,814.85/275,547.56
  6. Step 6: Final answer
    x = 147,016.89

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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.