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Finding the Fourth Proportional to 187,706.88, 281,560.32 and 47,465.46

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Solution

The fourth proportional to 187,706.88, 281,560.32 and 47,465.46 is: 71,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,706.88 : 281,560.32 = 47,465.46 : x
  2. Step 2: Convert to fraction form
    187,706.88/281,560.32 = 47,465.46/x
  3. Step 3: Cross multiply
    187,706.88x = 281,560.32 × 47,465.46
  4. Step 4: Simplify right side
    187,706.88x = 13,364,390,106.55
  5. Step 5: Solve for x
    x = 13,364,390,106.55/187,706.88
  6. Step 6: Final answer
    x = 71,198.19

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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.