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Finding the Fourth Proportional to 182,014.40, 272,438.40 and 142,356.80

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Solution

The fourth proportional to 182,014.40, 272,438.40 and 142,356.80 is: 213,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,014.40 : 272,438.40 = 142,356.80 : x
  2. Step 2: Convert to fraction form
    182,014.40/272,438.40 = 142,356.80/x
  3. Step 3: Cross multiply
    182,014.40x = 272,438.40 × 142,356.80
  4. Step 4: Simplify right side
    182,014.40x = 38,783,458,821.12
  5. Step 5: Solve for x
    x = 38,783,458,821.12/182,014.40
  6. Step 6: Final answer
    x = 213,079.07

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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.