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Finding the Fourth Proportional to 212,902.50, 319,405.06 and 79,783.92

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Solution

The fourth proportional to 212,902.50, 319,405.06 and 79,783.92 is: 119,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,902.50 : 319,405.06 = 79,783.92 : x
  2. Step 2: Convert to fraction form
    212,902.50/319,405.06 = 79,783.92/x
  3. Step 3: Cross multiply
    212,902.50x = 319,405.06 × 79,783.92
  4. Step 4: Simplify right side
    212,902.50x = 25,483,387,754.64
  5. Step 5: Solve for x
    x = 25,483,387,754.64/212,902.50
  6. Step 6: Final answer
    x = 119,695.11

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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.