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Finding the Fourth Proportional to 202,648.50, 279,669.41 and 112,002.52

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Solution

The fourth proportional to 202,648.50, 279,669.41 and 112,002.52 is: 154,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,648.50 : 279,669.41 = 112,002.52 : x
  2. Step 2: Convert to fraction form
    202,648.50/279,669.41 = 112,002.52/x
  3. Step 3: Cross multiply
    202,648.50x = 279,669.41 × 112,002.52
  4. Step 4: Simplify right side
    202,648.50x = 31,323,678,686.91
  5. Step 5: Solve for x
    x = 31,323,678,686.91/202,648.50
  6. Step 6: Final answer
    x = 154,571.48

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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.