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Finding the Fourth Proportional to 275,461.56, 413,221.68 and 97,985.16

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Solution

The fourth proportional to 275,461.56, 413,221.68 and 97,985.16 is: 146,988.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,461.56 : 413,221.68 = 97,985.16 : x
  2. Step 2: Convert to fraction form
    275,461.56/413,221.68 = 97,985.16/x
  3. Step 3: Cross multiply
    275,461.56x = 413,221.68 × 97,985.16
  4. Step 4: Simplify right side
    275,461.56x = 40,489,592,430.27
  5. Step 5: Solve for x
    x = 40,489,592,430.27/275,461.56
  6. Step 6: Final answer
    x = 146,988.18

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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.