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Finding the Fourth Proportional to 202,670.51, 279,680.85 and 112,023

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Solution

The fourth proportional to 202,670.51, 279,680.85 and 112,023 is: 154,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,670.51 : 279,680.85 = 112,023 : x
  2. Step 2: Convert to fraction form
    202,670.51/279,680.85 = 112,023/x
  3. Step 3: Cross multiply
    202,670.51x = 279,680.85 × 112,023
  4. Step 4: Simplify right side
    202,670.51x = 31,330,687,859.55
  5. Step 5: Solve for x
    x = 31,330,687,859.55/202,670.51
  6. Step 6: Final answer
    x = 154,589.28

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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.