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Finding the Fourth Proportional to 137,643.20, 206,464.80 and 44,158.40

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Solution

The fourth proportional to 137,643.20, 206,464.80 and 44,158.40 is: 66,237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,643.20 : 206,464.80 = 44,158.40 : x
  2. Step 2: Convert to fraction form
    137,643.20/206,464.80 = 44,158.40/x
  3. Step 3: Cross multiply
    137,643.20x = 206,464.80 × 44,158.40
  4. Step 4: Simplify right side
    137,643.20x = 9,117,155,224.32
  5. Step 5: Solve for x
    x = 9,117,155,224.32/137,643.20
  6. Step 6: Final answer
    x = 66,237.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.