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Finding the Fourth Proportional to 233,896.78, 322,925.15 and 162,251.74

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Solution

The fourth proportional to 233,896.78, 322,925.15 and 162,251.74 is: 224,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,896.78 : 322,925.15 = 162,251.74 : x
  2. Step 2: Convert to fraction form
    233,896.78/322,925.15 = 162,251.74/x
  3. Step 3: Cross multiply
    233,896.78x = 322,925.15 × 162,251.74
  4. Step 4: Simplify right side
    233,896.78x = 52,395,167,477.26
  5. Step 5: Solve for x
    x = 52,395,167,477.26/233,896.78
  6. Step 6: Final answer
    x = 224,009.79

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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.