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Finding the Fourth Proportional to 142,059.60, 213,089.40 and 133,311.60

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Solution

The fourth proportional to 142,059.60, 213,089.40 and 133,311.60 is: 199,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,059.60 : 213,089.40 = 133,311.60 : x
  2. Step 2: Convert to fraction form
    142,059.60/213,089.40 = 133,311.60/x
  3. Step 3: Cross multiply
    142,059.60x = 213,089.40 × 133,311.60
  4. Step 4: Simplify right side
    142,059.60x = 28,407,288,857.04
  5. Step 5: Solve for x
    x = 28,407,288,857.04/142,059.60
  6. Step 6: Final answer
    x = 199,967.40

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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.