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Finding the Fourth Proportional to 111,136.29, 153,358.38 and 65,806.16

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Solution

The fourth proportional to 111,136.29, 153,358.38 and 65,806.16 is: 90,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,136.29 : 153,358.38 = 65,806.16 : x
  2. Step 2: Convert to fraction form
    111,136.29/153,358.38 = 65,806.16/x
  3. Step 3: Cross multiply
    111,136.29x = 153,358.38 × 65,806.16
  4. Step 4: Simplify right side
    111,136.29x = 10,091,926,091.62
  5. Step 5: Solve for x
    x = 10,091,926,091.62/111,136.29
  6. Step 6: Final answer
    x = 90,806.76

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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.