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Finding the Fourth Proportional to 187,866.60, 281,810.70 and 54,767.40

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Solution

The fourth proportional to 187,866.60, 281,810.70 and 54,767.40 is: 82,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,866.60 : 281,810.70 = 54,767.40 : x
  2. Step 2: Convert to fraction form
    187,866.60/281,810.70 = 54,767.40/x
  3. Step 3: Cross multiply
    187,866.60x = 281,810.70 × 54,767.40
  4. Step 4: Simplify right side
    187,866.60x = 15,434,039,331.18
  5. Step 5: Solve for x
    x = 15,434,039,331.18/187,866.60
  6. Step 6: Final answer
    x = 82,154.25

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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.