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Finding the Fourth Proportional to 142,715.60, 213,919.80 and 53,934.80

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Solution

The fourth proportional to 142,715.60, 213,919.80 and 53,934.80 is: 80,844.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,715.60 : 213,919.80 = 53,934.80 : x
  2. Step 2: Convert to fraction form
    142,715.60/213,919.80 = 53,934.80/x
  3. Step 3: Cross multiply
    142,715.60x = 213,919.80 × 53,934.80
  4. Step 4: Simplify right side
    142,715.60x = 11,537,721,629.04
  5. Step 5: Solve for x
    x = 11,537,721,629.04/142,715.60
  6. Step 6: Final answer
    x = 80,844.15

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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.