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Finding the Fourth Proportional to 185,410.40, 278,127.48 and 65,452.48

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Solution

The fourth proportional to 185,410.40, 278,127.48 and 65,452.48 is: 98,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,410.40 : 278,127.48 = 65,452.48 : x
  2. Step 2: Convert to fraction form
    185,410.40/278,127.48 = 65,452.48/x
  3. Step 3: Cross multiply
    185,410.40x = 278,127.48 × 65,452.48
  4. Step 4: Simplify right side
    185,410.40x = 18,204,133,322.15
  5. Step 5: Solve for x
    x = 18,204,133,322.15/185,410.40
  6. Step 6: Final answer
    x = 98,182.91

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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.