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Finding the Fourth Proportional to 212,989.34, 293,920.56 and 117,496.01

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Solution

The fourth proportional to 212,989.34, 293,920.56 and 117,496.01 is: 162,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,989.34 : 293,920.56 = 117,496.01 : x
  2. Step 2: Convert to fraction form
    212,989.34/293,920.56 = 117,496.01/x
  3. Step 3: Cross multiply
    212,989.34x = 293,920.56 × 117,496.01
  4. Step 4: Simplify right side
    212,989.34x = 34,534,491,734.68
  5. Step 5: Solve for x
    x = 34,534,491,734.68/212,989.34
  6. Step 6: Final answer
    x = 162,141.88

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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.