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Finding the Fourth Proportional to 116,633.95, 160,967.93 and 65,659.23

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Solution

The fourth proportional to 116,633.95, 160,967.93 and 65,659.23 is: 90,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,633.95 : 160,967.93 = 65,659.23 : x
  2. Step 2: Convert to fraction form
    116,633.95/160,967.93 = 65,659.23/x
  3. Step 3: Cross multiply
    116,633.95x = 160,967.93 × 65,659.23
  4. Step 4: Simplify right side
    116,633.95x = 10,569,030,010.20
  5. Step 5: Solve for x
    x = 10,569,030,010.20/116,633.95
  6. Step 6: Final answer
    x = 90,617.10

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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.