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Finding the Fourth Proportional to 212,842.10, 293,724.09 and 117,352.23

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Solution

The fourth proportional to 212,842.10, 293,724.09 and 117,352.23 is: 161,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,842.10 : 293,724.09 = 117,352.23 : x
  2. Step 2: Convert to fraction form
    212,842.10/293,724.09 = 117,352.23/x
  3. Step 3: Cross multiply
    212,842.10x = 293,724.09 × 117,352.23
  4. Step 4: Simplify right side
    212,842.10x = 34,469,176,966.22
  5. Step 5: Solve for x
    x = 34,469,176,966.22/212,842.10
  6. Step 6: Final answer
    x = 161,947.18

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1.5x scale

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.