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Finding the Fourth Proportional to 185,272.91, 277,948.51 and 71,423.63

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Solution

The fourth proportional to 185,272.91, 277,948.51 and 71,423.63 is: 107,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,272.91 : 277,948.51 = 71,423.63 : x
  2. Step 2: Convert to fraction form
    185,272.91/277,948.51 = 71,423.63/x
  3. Step 3: Cross multiply
    185,272.91x = 277,948.51 × 71,423.63
  4. Step 4: Simplify right side
    185,272.91x = 19,852,091,537.29
  5. Step 5: Solve for x
    x = 19,852,091,537.29/185,272.91
  6. Step 6: Final answer
    x = 107,150.54

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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.