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Finding the Fourth Proportional to 180,473.37, 270,616.62 and 96,210.90

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Solution

The fourth proportional to 180,473.37, 270,616.62 and 96,210.90 is: 144,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,473.37 : 270,616.62 = 96,210.90 : x
  2. Step 2: Convert to fraction form
    180,473.37/270,616.62 = 96,210.90/x
  3. Step 3: Cross multiply
    180,473.37x = 270,616.62 × 96,210.90
  4. Step 4: Simplify right side
    180,473.37x = 26,036,268,565.16
  5. Step 5: Solve for x
    x = 26,036,268,565.16/180,473.37
  6. Step 6: Final answer
    x = 144,266.54

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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.