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Finding the Fourth Proportional to 185,206.78, 277,781.19 and 58,830.40

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Solution

The fourth proportional to 185,206.78, 277,781.19 and 58,830.40 is: 88,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,206.78 : 277,781.19 = 58,830.40 : x
  2. Step 2: Convert to fraction form
    185,206.78/277,781.19 = 58,830.40/x
  3. Step 3: Cross multiply
    185,206.78x = 277,781.19 × 58,830.40
  4. Step 4: Simplify right side
    185,206.78x = 16,341,978,520.18
  5. Step 5: Solve for x
    x = 16,341,978,520.18/185,206.78
  6. Step 6: Final answer
    x = 88,236.39

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1.5x scale

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.