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Finding the Fourth Proportional to 212,768.40, 319,627.80 and 177,776.40

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Solution

The fourth proportional to 212,768.40, 319,627.80 and 177,776.40 is: 267,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,768.40 : 319,627.80 = 177,776.40 : x
  2. Step 2: Convert to fraction form
    212,768.40/319,627.80 = 177,776.40/x
  3. Step 3: Cross multiply
    212,768.40x = 319,627.80 × 177,776.40
  4. Step 4: Simplify right side
    212,768.40x = 56,822,279,623.92
  5. Step 5: Solve for x
    x = 56,822,279,623.92/212,768.40
  6. Step 6: Final answer
    x = 267,061.65

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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.