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Finding the Fourth Proportional to 215,934.40, 323,824.80 and 97,662.40

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Solution

The fourth proportional to 215,934.40, 323,824.80 and 97,662.40 is: 146,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,934.40 : 323,824.80 = 97,662.40 : x
  2. Step 2: Convert to fraction form
    215,934.40/323,824.80 = 97,662.40/x
  3. Step 3: Cross multiply
    215,934.40x = 323,824.80 × 97,662.40
  4. Step 4: Simplify right side
    215,934.40x = 31,625,507,147.52
  5. Step 5: Solve for x
    x = 31,625,507,147.52/215,934.40
  6. Step 6: Final answer
    x = 146,458.87

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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.