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Finding the Fourth Proportional to 278,226.60, 383,952.78 and 150,901.08

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Solution

The fourth proportional to 278,226.60, 383,952.78 and 150,901.08 is: 208,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,226.60 : 383,952.78 = 150,901.08 : x
  2. Step 2: Convert to fraction form
    278,226.60/383,952.78 = 150,901.08/x
  3. Step 3: Cross multiply
    278,226.60x = 383,952.78 × 150,901.08
  4. Step 4: Simplify right side
    278,226.60x = 57,938,889,171.00
  5. Step 5: Solve for x
    x = 57,938,889,171.00/278,226.60
  6. Step 6: Final answer
    x = 208,243.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.