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Finding the Fourth Proportional to 233,455.92, 322,301.88 and 154,198.32

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Solution

The fourth proportional to 233,455.92, 322,301.88 and 154,198.32 is: 212,881.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,455.92 : 322,301.88 = 154,198.32 : x
  2. Step 2: Convert to fraction form
    233,455.92/322,301.88 = 154,198.32/x
  3. Step 3: Cross multiply
    233,455.92x = 322,301.88 × 154,198.32
  4. Step 4: Simplify right side
    233,455.92x = 49,698,408,428.84
  5. Step 5: Solve for x
    x = 49,698,408,428.84/233,455.92
  6. Step 6: Final answer
    x = 212,881.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.