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Finding the Fourth Proportional to 119,160.39, 164,441.42 and 65,448.07

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Solution

The fourth proportional to 119,160.39, 164,441.42 and 65,448.07 is: 90,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,160.39 : 164,441.42 = 65,448.07 : x
  2. Step 2: Convert to fraction form
    119,160.39/164,441.42 = 65,448.07/x
  3. Step 3: Cross multiply
    119,160.39x = 164,441.42 × 65,448.07
  4. Step 4: Simplify right side
    119,160.39x = 10,762,373,567.06
  5. Step 5: Solve for x
    x = 10,762,373,567.06/119,160.39
  6. Step 6: Final answer
    x = 90,318.38

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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.