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Finding the Fourth Proportional to 116,173.17, 160,309.62 and 65,178.90

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Solution

The fourth proportional to 116,173.17, 160,309.62 and 65,178.90 is: 89,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,173.17 : 160,309.62 = 65,178.90 : x
  2. Step 2: Convert to fraction form
    116,173.17/160,309.62 = 65,178.90/x
  3. Step 3: Cross multiply
    116,173.17x = 160,309.62 × 65,178.90
  4. Step 4: Simplify right side
    116,173.17x = 10,448,804,691.02
  5. Step 5: Solve for x
    x = 10,448,804,691.02/116,173.17
  6. Step 6: Final answer
    x = 89,941.63

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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.