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Finding the Fourth Proportional to 207,084.57, 310,610.13 and 57,327.60

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Solution

The fourth proportional to 207,084.57, 310,610.13 and 57,327.60 is: 85,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,084.57 : 310,610.13 = 57,327.60 : x
  2. Step 2: Convert to fraction form
    207,084.57/310,610.13 = 57,327.60/x
  3. Step 3: Cross multiply
    207,084.57x = 310,610.13 × 57,327.60
  4. Step 4: Simplify right side
    207,084.57x = 17,806,533,288.59
  5. Step 5: Solve for x
    x = 17,806,533,288.59/207,084.57
  6. Step 6: Final answer
    x = 85,986.77

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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.