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Finding the Fourth Proportional to 278,177.59, 417,082.02 and 100,661.50

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Solution

The fourth proportional to 278,177.59, 417,082.02 and 100,661.50 is: 150,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,177.59 : 417,082.02 = 100,661.50 : x
  2. Step 2: Convert to fraction form
    278,177.59/417,082.02 = 100,661.50/x
  3. Step 3: Cross multiply
    278,177.59x = 417,082.02 × 100,661.50
  4. Step 4: Simplify right side
    278,177.59x = 41,984,101,756.23
  5. Step 5: Solve for x
    x = 41,984,101,756.23/278,177.59
  6. Step 6: Final answer
    x = 150,925.54

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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.