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Finding the Fourth Proportional to 119,993.28, 165,501.24 and 106,397.28

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Solution

The fourth proportional to 119,993.28, 165,501.24 and 106,397.28 is: 146,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,993.28 : 165,501.24 = 106,397.28 : x
  2. Step 2: Convert to fraction form
    119,993.28/165,501.24 = 106,397.28/x
  3. Step 3: Cross multiply
    119,993.28x = 165,501.24 × 106,397.28
  4. Step 4: Simplify right side
    119,993.28x = 17,608,881,772.63
  5. Step 5: Solve for x
    x = 17,608,881,772.63/119,993.28
  6. Step 6: Final answer
    x = 146,748.90

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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.