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Finding the Fourth Proportional to 210,972.78, 291,084.84 and 120,295.68

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Solution

The fourth proportional to 210,972.78, 291,084.84 and 120,295.68 is: 165,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,972.78 : 291,084.84 = 120,295.68 : x
  2. Step 2: Convert to fraction form
    210,972.78/291,084.84 = 120,295.68/x
  3. Step 3: Cross multiply
    210,972.78x = 291,084.84 × 120,295.68
  4. Step 4: Simplify right side
    210,972.78x = 35,016,248,765.49
  5. Step 5: Solve for x
    x = 35,016,248,765.49/210,972.78
  6. Step 6: Final answer
    x = 165,975.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.