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Finding the Fourth Proportional to 242,797.72, 335,033.82 and 147,327.64

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Solution

The fourth proportional to 242,797.72, 335,033.82 and 147,327.64 is: 203,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,797.72 : 335,033.82 = 147,327.64 : x
  2. Step 2: Convert to fraction form
    242,797.72/335,033.82 = 147,327.64/x
  3. Step 3: Cross multiply
    242,797.72x = 335,033.82 × 147,327.64
  4. Step 4: Simplify right side
    242,797.72x = 49,359,742,020.78
  5. Step 5: Solve for x
    x = 49,359,742,020.78/242,797.72
  6. Step 6: Final answer
    x = 203,295.74

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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.