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Finding the Fourth Proportional to 217,074.16, 325,217.50 and 160,288.64

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Solution

The fourth proportional to 217,074.16, 325,217.50 and 160,288.64 is: 240,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,074.16 : 325,217.50 = 160,288.64 : x
  2. Step 2: Convert to fraction form
    217,074.16/325,217.50 = 160,288.64/x
  3. Step 3: Cross multiply
    217,074.16x = 325,217.50 × 160,288.64
  4. Step 4: Simplify right side
    217,074.16x = 52,128,670,779.20
  5. Step 5: Solve for x
    x = 52,128,670,779.20/217,074.16
  6. Step 6: Final answer
    x = 240,142.22

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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.