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Finding the Fourth Proportional to 120,263.77, 165,981.62 and 69,266.58

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Solution

The fourth proportional to 120,263.77, 165,981.62 and 69,266.58 is: 95,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,263.77 : 165,981.62 = 69,266.58 : x
  2. Step 2: Convert to fraction form
    120,263.77/165,981.62 = 69,266.58/x
  3. Step 3: Cross multiply
    120,263.77x = 165,981.62 × 69,266.58
  4. Step 4: Simplify right side
    120,263.77x = 11,496,979,160.26
  5. Step 5: Solve for x
    x = 11,496,979,160.26/120,263.77
  6. Step 6: Final answer
    x = 95,598.03

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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.