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Finding the Fourth Proportional to 142,282.80, 213,143.40 and 72,212.40

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Solution

The fourth proportional to 142,282.80, 213,143.40 and 72,212.40 is: 108,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,282.80 : 213,143.40 = 72,212.40 : x
  2. Step 2: Convert to fraction form
    142,282.80/213,143.40 = 72,212.40/x
  3. Step 3: Cross multiply
    142,282.80x = 213,143.40 × 72,212.40
  4. Step 4: Simplify right side
    142,282.80x = 15,391,596,458.16
  5. Step 5: Solve for x
    x = 15,391,596,458.16/142,282.80
  6. Step 6: Final answer
    x = 108,176.09

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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.