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Finding the Fourth Proportional to 259,506.52, 358,144.05 and 157,508.49

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Solution

The fourth proportional to 259,506.52, 358,144.05 and 157,508.49 is: 217,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,506.52 : 358,144.05 = 157,508.49 : x
  2. Step 2: Convert to fraction form
    259,506.52/358,144.05 = 157,508.49/x
  3. Step 3: Cross multiply
    259,506.52x = 358,144.05 × 157,508.49
  4. Step 4: Simplify right side
    259,506.52x = 56,410,726,727.26
  5. Step 5: Solve for x
    x = 56,410,726,727.26/259,506.52
  6. Step 6: Final answer
    x = 217,376.91

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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.