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Finding the Fourth Proportional to 232,224.22, 349,123.74 and 185,437

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Solution

The fourth proportional to 232,224.22, 349,123.74 and 185,437 is: 278,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,224.22 : 349,123.74 = 185,437 : x
  2. Step 2: Convert to fraction form
    232,224.22/349,123.74 = 185,437/x
  3. Step 3: Cross multiply
    232,224.22x = 349,123.74 × 185,437
  4. Step 4: Simplify right side
    232,224.22x = 64,740,458,974.38
  5. Step 5: Solve for x
    x = 64,740,458,974.38/232,224.22
  6. Step 6: Final answer
    x = 278,784.27

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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.