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Finding the Fourth Proportional to 275,090.59, 412,499.80 and 97,570.99

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Solution

The fourth proportional to 275,090.59, 412,499.80 and 97,570.99 is: 146,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,090.59 : 412,499.80 = 97,570.99 : x
  2. Step 2: Convert to fraction form
    275,090.59/412,499.80 = 97,570.99/x
  3. Step 3: Cross multiply
    275,090.59x = 412,499.80 × 97,570.99
  4. Step 4: Simplify right side
    275,090.59x = 40,248,013,860.80
  5. Step 5: Solve for x
    x = 40,248,013,860.80/275,090.59
  6. Step 6: Final answer
    x = 146,308.22

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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.