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Finding the Fourth Proportional to 209,816.07, 314,773.32 and 83,463.51

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Solution

The fourth proportional to 209,816.07, 314,773.32 and 83,463.51 is: 125,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,816.07 : 314,773.32 = 83,463.51 : x
  2. Step 2: Convert to fraction form
    209,816.07/314,773.32 = 83,463.51/x
  3. Step 3: Cross multiply
    209,816.07x = 314,773.32 × 83,463.51
  4. Step 4: Simplify right side
    209,816.07x = 26,272,086,930.72
  5. Step 5: Solve for x
    x = 26,272,086,930.72/209,816.07
  6. Step 6: Final answer
    x = 125,214.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.