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Finding the Fourth Proportional to 119,314.13, 164,656.67 and 65,600.53

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Solution

The fourth proportional to 119,314.13, 164,656.67 and 65,600.53 is: 90,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,314.13 : 164,656.67 = 65,600.53 : x
  2. Step 2: Convert to fraction form
    119,314.13/164,656.67 = 65,600.53/x
  3. Step 3: Cross multiply
    119,314.13x = 164,656.67 × 65,600.53
  4. Step 4: Simplify right side
    119,314.13x = 10,801,564,984.04
  5. Step 5: Solve for x
    x = 10,801,564,984.04/119,314.13
  6. Step 6: Final answer
    x = 90,530.48

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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.