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Finding the Fourth Proportional to 111,188.23, 153,377.51 and 65,821.95

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Solution

The fourth proportional to 111,188.23, 153,377.51 and 65,821.95 is: 90,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,188.23 : 153,377.51 = 65,821.95 : x
  2. Step 2: Convert to fraction form
    111,188.23/153,377.51 = 65,821.95/x
  3. Step 3: Cross multiply
    111,188.23x = 153,377.51 × 65,821.95
  4. Step 4: Simplify right side
    111,188.23x = 10,095,606,794.34
  5. Step 5: Solve for x
    x = 10,095,606,794.34/111,188.23
  6. Step 6: Final answer
    x = 90,797.44

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Why These Related Problems?

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