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Finding the Fourth Proportional to 212,993.40, 293,926.17 and 117,500.07

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Solution

The fourth proportional to 212,993.40, 293,926.17 and 117,500.07 is: 162,147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,993.40 : 293,926.17 = 117,500.07 : x
  2. Step 2: Convert to fraction form
    212,993.40/293,926.17 = 117,500.07/x
  3. Step 3: Cross multiply
    212,993.40x = 293,926.17 × 117,500.07
  4. Step 4: Simplify right side
    212,993.40x = 34,536,345,549.83
  5. Step 5: Solve for x
    x = 34,536,345,549.83/212,993.40
  6. Step 6: Final answer
    x = 162,147.49

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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.