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Finding the Fourth Proportional to 185,141.52, 277,741.44 and 66,841.92

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Solution

The fourth proportional to 185,141.52, 277,741.44 and 66,841.92 is: 100,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,141.52 : 277,741.44 = 66,841.92 : x
  2. Step 2: Convert to fraction form
    185,141.52/277,741.44 = 66,841.92/x
  3. Step 3: Cross multiply
    185,141.52x = 277,741.44 × 66,841.92
  4. Step 4: Simplify right side
    185,141.52x = 18,564,771,113.16
  5. Step 5: Solve for x
    x = 18,564,771,113.16/185,141.52
  6. Step 6: Final answer
    x = 100,273.41

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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.