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Finding the Fourth Proportional to 111,566.78, 153,832.08 and 83,223.26

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Solution

The fourth proportional to 111,566.78, 153,832.08 and 83,223.26 is: 114,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,566.78 : 153,832.08 = 83,223.26 : x
  2. Step 2: Convert to fraction form
    111,566.78/153,832.08 = 83,223.26/x
  3. Step 3: Cross multiply
    111,566.78x = 153,832.08 × 83,223.26
  4. Step 4: Simplify right side
    111,566.78x = 12,802,407,190.18
  5. Step 5: Solve for x
    x = 12,802,407,190.18/111,566.78
  6. Step 6: Final answer
    x = 114,751.07

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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.