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Finding the Fourth Proportional to 187,694.90, 281,583.90 and 103,411.68

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Solution

The fourth proportional to 187,694.90, 281,583.90 and 103,411.68 is: 155,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,694.90 : 281,583.90 = 103,411.68 : x
  2. Step 2: Convert to fraction form
    187,694.90/281,583.90 = 103,411.68/x
  3. Step 3: Cross multiply
    187,694.90x = 281,583.90 × 103,411.68
  4. Step 4: Simplify right side
    187,694.90x = 29,119,064,159.95
  5. Step 5: Solve for x
    x = 29,119,064,159.95/187,694.90
  6. Step 6: Final answer
    x = 155,140.41

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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.