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Finding the Fourth Proportional to 212,727.60, 319,091.40 and 142,225.20

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Solution

The fourth proportional to 212,727.60, 319,091.40 and 142,225.20 is: 213,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,727.60 : 319,091.40 = 142,225.20 : x
  2. Step 2: Convert to fraction form
    212,727.60/319,091.40 = 142,225.20/x
  3. Step 3: Cross multiply
    212,727.60x = 319,091.40 × 142,225.20
  4. Step 4: Simplify right side
    212,727.60x = 45,382,838,183.28
  5. Step 5: Solve for x
    x = 45,382,838,183.28/212,727.60
  6. Step 6: Final answer
    x = 213,337.80

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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.