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Finding the Fourth Proportional to 187,806, 281,649.52 and 61,417.04

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Solution

The fourth proportional to 187,806, 281,649.52 and 61,417.04 is: 92,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,806 : 281,649.52 = 61,417.04 : x
  2. Step 2: Convert to fraction form
    187,806/281,649.52 = 61,417.04/x
  3. Step 3: Cross multiply
    187,806x = 281,649.52 × 61,417.04
  4. Step 4: Simplify right side
    187,806x = 17,298,079,835.82
  5. Step 5: Solve for x
    x = 17,298,079,835.82/187,806
  6. Step 6: Final answer
    x = 92,106.11

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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.