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Finding the Fourth Proportional to 185,146.80, 277,734.72 and 52,038

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Solution

The fourth proportional to 185,146.80, 277,734.72 and 52,038 is: 78,061.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,146.80 : 277,734.72 = 52,038 : x
  2. Step 2: Convert to fraction form
    185,146.80/277,734.72 = 52,038/x
  3. Step 3: Cross multiply
    185,146.80x = 277,734.72 × 52,038
  4. Step 4: Simplify right side
    185,146.80x = 14,452,759,359.36
  5. Step 5: Solve for x
    x = 14,452,759,359.36/185,146.80
  6. Step 6: Final answer
    x = 78,061.08

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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.