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Finding the Fourth Proportional to 119,394.93, 164,758.51 and 65,671.28

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Solution

The fourth proportional to 119,394.93, 164,758.51 and 65,671.28 is: 90,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,394.93 : 164,758.51 = 65,671.28 : x
  2. Step 2: Convert to fraction form
    119,394.93/164,758.51 = 65,671.28/x
  3. Step 3: Cross multiply
    119,394.93x = 164,758.51 × 65,671.28
  4. Step 4: Simplify right side
    119,394.93x = 10,819,902,242.59
  5. Step 5: Solve for x
    x = 10,819,902,242.59/119,394.93
  6. Step 6: Final answer
    x = 90,622.79

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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.