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Finding the Fourth Proportional to 150,032.39, 207,036.32 and 82,035.86

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Solution

The fourth proportional to 150,032.39, 207,036.32 and 82,035.86 is: 113,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,032.39 : 207,036.32 = 82,035.86 : x
  2. Step 2: Convert to fraction form
    150,032.39/207,036.32 = 82,035.86/x
  3. Step 3: Cross multiply
    150,032.39x = 207,036.32 × 82,035.86
  4. Step 4: Simplify right side
    150,032.39x = 16,984,401,117.07
  5. Step 5: Solve for x
    x = 16,984,401,117.07/150,032.39
  6. Step 6: Final answer
    x = 113,204.90

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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.