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Finding the Fourth Proportional to 185,000.40, 277,053.30 and 105,874.74

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Solution

The fourth proportional to 185,000.40, 277,053.30 and 105,874.74 is: 158,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,000.40 : 277,053.30 = 105,874.74 : x
  2. Step 2: Convert to fraction form
    185,000.40/277,053.30 = 105,874.74/x
  3. Step 3: Cross multiply
    185,000.40x = 277,053.30 × 105,874.74
  4. Step 4: Simplify right side
    185,000.40x = 29,332,946,103.64
  5. Step 5: Solve for x
    x = 29,332,946,103.64/185,000.40
  6. Step 6: Final answer
    x = 158,556.12

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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.