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Finding the Fourth Proportional to 232,364.16, 320,760.24 and 157,014.72

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Solution

The fourth proportional to 232,364.16, 320,760.24 and 157,014.72 is: 216,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,364.16 : 320,760.24 = 157,014.72 : x
  2. Step 2: Convert to fraction form
    232,364.16/320,760.24 = 157,014.72/x
  3. Step 3: Cross multiply
    232,364.16x = 320,760.24 × 157,014.72
  4. Step 4: Simplify right side
    232,364.16x = 50,364,079,270.73
  5. Step 5: Solve for x
    x = 50,364,079,270.73/232,364.16
  6. Step 6: Final answer
    x = 216,746.33

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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.