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Finding the Fourth Proportional to 212,366.50, 293,065.80 and 116,873.20

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Solution

The fourth proportional to 212,366.50, 293,065.80 and 116,873.20 is: 161,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,366.50 : 293,065.80 = 116,873.20 : x
  2. Step 2: Convert to fraction form
    212,366.50/293,065.80 = 116,873.20/x
  3. Step 3: Cross multiply
    212,366.50x = 293,065.80 × 116,873.20
  4. Step 4: Simplify right side
    212,366.50x = 34,251,537,856.56
  5. Step 5: Solve for x
    x = 34,251,537,856.56/212,366.50
  6. Step 6: Final answer
    x = 161,285.03

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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.