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Finding the Fourth Proportional to 124,515.49, 185,802.06 and 111,096.22

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Solution

The fourth proportional to 124,515.49, 185,802.06 and 111,096.22 is: 165,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,515.49 : 185,802.06 = 111,096.22 : x
  2. Step 2: Convert to fraction form
    124,515.49/185,802.06 = 111,096.22/x
  3. Step 3: Cross multiply
    124,515.49x = 185,802.06 × 111,096.22
  4. Step 4: Simplify right side
    124,515.49x = 20,641,906,534.21
  5. Step 5: Solve for x
    x = 20,641,906,534.21/124,515.49
  6. Step 6: Final answer
    x = 165,777.82

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Why These Related Problems?

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