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Finding the Fourth Proportional to 212,633.60, 318,950.40 and 142,131.20

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Solution

The fourth proportional to 212,633.60, 318,950.40 and 142,131.20 is: 213,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,633.60 : 318,950.40 = 142,131.20 : x
  2. Step 2: Convert to fraction form
    212,633.60/318,950.40 = 142,131.20/x
  3. Step 3: Cross multiply
    212,633.60x = 318,950.40 × 142,131.20
  4. Step 4: Simplify right side
    212,633.60x = 45,332,803,092.48
  5. Step 5: Solve for x
    x = 45,332,803,092.48/212,633.60
  6. Step 6: Final answer
    x = 213,196.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.