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Finding the Fourth Proportional to 187,966.94, 282,008.87 and 61,608.29

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Solution

The fourth proportional to 187,966.94, 282,008.87 and 61,608.29 is: 92,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,966.94 : 282,008.87 = 61,608.29 : x
  2. Step 2: Convert to fraction form
    187,966.94/282,008.87 = 61,608.29/x
  3. Step 3: Cross multiply
    187,966.94x = 282,008.87 × 61,608.29
  4. Step 4: Simplify right side
    187,966.94x = 17,374,084,245.53
  5. Step 5: Solve for x
    x = 17,374,084,245.53/187,966.94
  6. Step 6: Final answer
    x = 92,431.60

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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.