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Finding the Fourth Proportional to 151,590, 209,191.37 and 83,613.32

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Solution

The fourth proportional to 151,590, 209,191.37 and 83,613.32 is: 115,384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,590 : 209,191.37 = 83,613.32 : x
  2. Step 2: Convert to fraction form
    151,590/209,191.37 = 83,613.32/x
  3. Step 3: Cross multiply
    151,590x = 209,191.37 × 83,613.32
  4. Step 4: Simplify right side
    151,590x = 17,491,183,497.03
  5. Step 5: Solve for x
    x = 17,491,183,497.03/151,590
  6. Step 6: Final answer
    x = 115,384.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.