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Finding the Fourth Proportional to 111,264, 166,285.15 and 81,341.23

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Solution

The fourth proportional to 111,264, 166,285.15 and 81,341.23 is: 121,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,264 : 166,285.15 = 81,341.23 : x
  2. Step 2: Convert to fraction form
    111,264/166,285.15 = 81,341.23/x
  3. Step 3: Cross multiply
    111,264x = 166,285.15 × 81,341.23
  4. Step 4: Simplify right side
    111,264x = 13,525,838,225.03
  5. Step 5: Solve for x
    x = 13,525,838,225.03/111,264
  6. Step 6: Final answer
    x = 121,565.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.