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Finding the Fourth Proportional to 212,563.38, 293,350.74 and 117,070.05

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Solution

The fourth proportional to 212,563.38, 293,350.74 and 117,070.05 is: 161,563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,563.38 : 293,350.74 = 117,070.05 : x
  2. Step 2: Convert to fraction form
    212,563.38/293,350.74 = 117,070.05/x
  3. Step 3: Cross multiply
    212,563.38x = 293,350.74 × 117,070.05
  4. Step 4: Simplify right side
    212,563.38x = 34,342,585,799.34
  5. Step 5: Solve for x
    x = 34,342,585,799.34/212,563.38
  6. Step 6: Final answer
    x = 161,563.98

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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.