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Finding the Fourth Proportional to 111,496.68, 167,238.54 and 81,541.26

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Solution

The fourth proportional to 111,496.68, 167,238.54 and 81,541.26 is: 122,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,496.68 : 167,238.54 = 81,541.26 : x
  2. Step 2: Convert to fraction form
    111,496.68/167,238.54 = 81,541.26/x
  3. Step 3: Cross multiply
    111,496.68x = 167,238.54 × 81,541.26
  4. Step 4: Simplify right side
    111,496.68x = 13,636,841,272.16
  5. Step 5: Solve for x
    x = 13,636,841,272.16/111,496.68
  6. Step 6: Final answer
    x = 122,307.15

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Why These Related Problems?

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