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Finding the Fourth Proportional to 123,574.60, 185,351.10 and 40,468.60

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Solution

The fourth proportional to 123,574.60, 185,351.10 and 40,468.60 is: 60,699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,574.60 : 185,351.10 = 40,468.60 : x
  2. Step 2: Convert to fraction form
    123,574.60/185,351.10 = 40,468.60/x
  3. Step 3: Cross multiply
    123,574.60x = 185,351.10 × 40,468.60
  4. Step 4: Simplify right side
    123,574.60x = 7,500,899,525.46
  5. Step 5: Solve for x
    x = 7,500,899,525.46/123,574.60
  6. Step 6: Final answer
    x = 60,699.36

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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.