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Finding the Fourth Proportional to 233,585.40, 322,011.92 and 166,400.76

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Solution

The fourth proportional to 233,585.40, 322,011.92 and 166,400.76 is: 229,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,585.40 : 322,011.92 = 166,400.76 : x
  2. Step 2: Convert to fraction form
    233,585.40/322,011.92 = 166,400.76/x
  3. Step 3: Cross multiply
    233,585.40x = 322,011.92 × 166,400.76
  4. Step 4: Simplify right side
    233,585.40x = 53,583,028,217.06
  5. Step 5: Solve for x
    x = 53,583,028,217.06/233,585.40
  6. Step 6: Final answer
    x = 229,393.74

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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.