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Finding the Fourth Proportional to 275,316.60, 412,974.90 and 97,841.55

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Solution

The fourth proportional to 275,316.60, 412,974.90 and 97,841.55 is: 146,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,316.60 : 412,974.90 = 97,841.55 : x
  2. Step 2: Convert to fraction form
    275,316.60/412,974.90 = 97,841.55/x
  3. Step 3: Cross multiply
    275,316.60x = 412,974.90 × 97,841.55
  4. Step 4: Simplify right side
    275,316.60x = 40,406,104,327.10
  5. Step 5: Solve for x
    x = 40,406,104,327.10/275,316.60
  6. Step 6: Final answer
    x = 146,762.33

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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.