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Finding the Fourth Proportional to 185,410.82, 277,798.34 and 124,506.92

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Solution

The fourth proportional to 185,410.82, 277,798.34 and 124,506.92 is: 186,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,410.82 : 277,798.34 = 124,506.92 : x
  2. Step 2: Convert to fraction form
    185,410.82/277,798.34 = 124,506.92/x
  3. Step 3: Cross multiply
    185,410.82x = 277,798.34 × 124,506.92
  4. Step 4: Simplify right side
    185,410.82x = 34,587,816,700.28
  5. Step 5: Solve for x
    x = 34,587,816,700.28/185,410.82
  6. Step 6: Final answer
    x = 186,546.91

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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.