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Finding the Fourth Proportional to 115,806, 159,812.28 and 62,814

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Solution

The fourth proportional to 115,806, 159,812.28 and 62,814 is: 86,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,806 : 159,812.28 = 62,814 : x
  2. Step 2: Convert to fraction form
    115,806/159,812.28 = 62,814/x
  3. Step 3: Cross multiply
    115,806x = 159,812.28 × 62,814
  4. Step 4: Simplify right side
    115,806x = 10,038,448,555.92
  5. Step 5: Solve for x
    x = 10,038,448,555.92/115,806
  6. Step 6: Final answer
    x = 86,683.32

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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.