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Finding the Fourth Proportional to 100,270.16, 138,370.64 and 54,947.16

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Solution

The fourth proportional to 100,270.16, 138,370.64 and 54,947.16 is: 75,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,270.16 : 138,370.64 = 54,947.16 : x
  2. Step 2: Convert to fraction form
    100,270.16/138,370.64 = 54,947.16/x
  3. Step 3: Cross multiply
    100,270.16x = 138,370.64 × 54,947.16
  4. Step 4: Simplify right side
    100,270.16x = 7,603,073,420.65
  5. Step 5: Solve for x
    x = 7,603,073,420.65/100,270.16
  6. Step 6: Final answer
    x = 75,825.89

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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.