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Finding the Fourth Proportional to 116,778.04, 161,144.52 and 65,788

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Solution

The fourth proportional to 116,778.04, 161,144.52 and 65,788 is: 90,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,778.04 : 161,144.52 = 65,788 : x
  2. Step 2: Convert to fraction form
    116,778.04/161,144.52 = 65,788/x
  3. Step 3: Cross multiply
    116,778.04x = 161,144.52 × 65,788
  4. Step 4: Simplify right side
    116,778.04x = 10,601,375,681.76
  5. Step 5: Solve for x
    x = 10,601,375,681.76/116,778.04
  6. Step 6: Final answer
    x = 90,782.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.