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Finding the Fourth Proportional to 114,264, 171,461.62 and 89,233.79

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Solution

The fourth proportional to 114,264, 171,461.62 and 89,233.79 is: 133,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,264 : 171,461.62 = 89,233.79 : x
  2. Step 2: Convert to fraction form
    114,264/171,461.62 = 89,233.79/x
  3. Step 3: Cross multiply
    114,264x = 171,461.62 × 89,233.79
  4. Step 4: Simplify right side
    114,264x = 15,300,169,446.37
  5. Step 5: Solve for x
    x = 15,300,169,446.37/114,264
  6. Step 6: Final answer
    x = 133,901.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.