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Finding the Fourth Proportional to 185,503.42, 278,027.10 and 85,524.84

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Solution

The fourth proportional to 185,503.42, 278,027.10 and 85,524.84 is: 128,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,503.42 : 278,027.10 = 85,524.84 : x
  2. Step 2: Convert to fraction form
    185,503.42/278,027.10 = 85,524.84/x
  3. Step 3: Cross multiply
    185,503.42x = 278,027.10 × 85,524.84
  4. Step 4: Simplify right side
    185,503.42x = 23,778,223,243.16
  5. Step 5: Solve for x
    x = 23,778,223,243.16/185,503.42
  6. Step 6: Final answer
    x = 128,182.13

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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.