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Finding the Fourth Proportional to 217,097.20, 325,645.80 and 146,238.40

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Solution

The fourth proportional to 217,097.20, 325,645.80 and 146,238.40 is: 219,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,097.20 : 325,645.80 = 146,238.40 : x
  2. Step 2: Convert to fraction form
    217,097.20/325,645.80 = 146,238.40/x
  3. Step 3: Cross multiply
    217,097.20x = 325,645.80 × 146,238.40
  4. Step 4: Simplify right side
    217,097.20x = 47,621,920,758.72
  5. Step 5: Solve for x
    x = 47,621,920,758.72/217,097.20
  6. Step 6: Final answer
    x = 219,357.60

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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.