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Finding the Fourth Proportional to 119,589, 165,032.84 and 69,317.16

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Solution

The fourth proportional to 119,589, 165,032.84 and 69,317.16 is: 95,657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,589 : 165,032.84 = 69,317.16 : x
  2. Step 2: Convert to fraction form
    119,589/165,032.84 = 69,317.16/x
  3. Step 3: Cross multiply
    119,589x = 165,032.84 × 69,317.16
  4. Step 4: Simplify right side
    119,589x = 11,439,607,775.53
  5. Step 5: Solve for x
    x = 11,439,607,775.53/119,589
  6. Step 6: Final answer
    x = 95,657.69

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1.5x scale

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.