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Finding the Fourth Proportional to 183,223.19, 252,874.72 and 102,656.17

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Solution

The fourth proportional to 183,223.19, 252,874.72 and 102,656.17 is: 141,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,223.19 : 252,874.72 = 102,656.17 : x
  2. Step 2: Convert to fraction form
    183,223.19/252,874.72 = 102,656.17/x
  3. Step 3: Cross multiply
    183,223.19x = 252,874.72 × 102,656.17
  4. Step 4: Simplify right side
    183,223.19x = 25,959,148,467.37
  5. Step 5: Solve for x
    x = 25,959,148,467.37/183,223.19
  6. Step 6: Final answer
    x = 141,680.48

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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.