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Finding the Fourth Proportional to 202,671.51, 279,682.23 and 112,024

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Solution

The fourth proportional to 202,671.51, 279,682.23 and 112,024 is: 154,590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,671.51 : 279,682.23 = 112,024 : x
  2. Step 2: Convert to fraction form
    202,671.51/279,682.23 = 112,024/x
  3. Step 3: Cross multiply
    202,671.51x = 279,682.23 × 112,024
  4. Step 4: Simplify right side
    202,671.51x = 31,331,122,133.52
  5. Step 5: Solve for x
    x = 31,331,122,133.52/202,671.51
  6. Step 6: Final answer
    x = 154,590.66

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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.