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Finding the Fourth Proportional to 187,250.30, 280,866.81 and 47,005.82

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Solution

The fourth proportional to 187,250.30, 280,866.81 and 47,005.82 is: 70,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,250.30 : 280,866.81 = 47,005.82 : x
  2. Step 2: Convert to fraction form
    187,250.30/280,866.81 = 47,005.82/x
  3. Step 3: Cross multiply
    187,250.30x = 280,866.81 × 47,005.82
  4. Step 4: Simplify right side
    187,250.30x = 13,202,374,714.83
  5. Step 5: Solve for x
    x = 13,202,374,714.83/187,250.30
  6. Step 6: Final answer
    x = 70,506.56

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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.