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Finding the Fourth Proportional to 142,041.60, 213,062.40 and 82,846.80

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Solution

The fourth proportional to 142,041.60, 213,062.40 and 82,846.80 is: 124,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,041.60 : 213,062.40 = 82,846.80 : x
  2. Step 2: Convert to fraction form
    142,041.60/213,062.40 = 82,846.80/x
  3. Step 3: Cross multiply
    142,041.60x = 213,062.40 × 82,846.80
  4. Step 4: Simplify right side
    142,041.60x = 17,651,538,040.32
  5. Step 5: Solve for x
    x = 17,651,538,040.32/142,041.60
  6. Step 6: Final answer
    x = 124,270.20

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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.