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Finding the Fourth Proportional to 212,519.30, 293,267.16 and 121,810.22

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Solution

The fourth proportional to 212,519.30, 293,267.16 and 121,810.22 is: 168,092.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,519.30 : 293,267.16 = 121,810.22 : x
  2. Step 2: Convert to fraction form
    212,519.30/293,267.16 = 121,810.22/x
  3. Step 3: Cross multiply
    212,519.30x = 293,267.16 × 121,810.22
  4. Step 4: Simplify right side
    212,519.30x = 35,722,937,278.38
  5. Step 5: Solve for x
    x = 35,722,937,278.38/212,519.30
  6. Step 6: Final answer
    x = 168,092.67

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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.