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Finding the Fourth Proportional to 142,499.80, 213,749.70 and 137,056.60

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Solution

The fourth proportional to 142,499.80, 213,749.70 and 137,056.60 is: 205,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,499.80 : 213,749.70 = 137,056.60 : x
  2. Step 2: Convert to fraction form
    142,499.80/213,749.70 = 137,056.60/x
  3. Step 3: Cross multiply
    142,499.80x = 213,749.70 × 137,056.60
  4. Step 4: Simplify right side
    142,499.80x = 29,295,807,133.02
  5. Step 5: Solve for x
    x = 29,295,807,133.02/142,499.80
  6. Step 6: Final answer
    x = 205,584.90

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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.