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Finding the Fourth Proportional to 232,758.78, 349,196.49 and 74,983.74

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Solution

The fourth proportional to 232,758.78, 349,196.49 and 74,983.74 is: 112,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,758.78 : 349,196.49 = 74,983.74 : x
  2. Step 2: Convert to fraction form
    232,758.78/349,196.49 = 74,983.74/x
  3. Step 3: Cross multiply
    232,758.78x = 349,196.49 × 74,983.74
  4. Step 4: Simplify right side
    232,758.78x = 26,184,058,815.07
  5. Step 5: Solve for x
    x = 26,184,058,815.07/232,758.78
  6. Step 6: Final answer
    x = 112,494.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.