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Finding the Fourth Proportional to 210,400.80, 315,447.60 and 85,677.60

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Solution

The fourth proportional to 210,400.80, 315,447.60 and 85,677.60 is: 128,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,400.80 : 315,447.60 = 85,677.60 : x
  2. Step 2: Convert to fraction form
    210,400.80/315,447.60 = 85,677.60/x
  3. Step 3: Cross multiply
    210,400.80x = 315,447.60 × 85,677.60
  4. Step 4: Simplify right side
    210,400.80x = 27,026,793,293.76
  5. Step 5: Solve for x
    x = 27,026,793,293.76/210,400.80
  6. Step 6: Final answer
    x = 128,453.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.