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Finding the Fourth Proportional to 209,272.58, 313,724.67 and 83,001.48

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Solution

The fourth proportional to 209,272.58, 313,724.67 and 83,001.48 is: 124,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,272.58 : 313,724.67 = 83,001.48 : x
  2. Step 2: Convert to fraction form
    209,272.58/313,724.67 = 83,001.48/x
  3. Step 3: Cross multiply
    209,272.58x = 313,724.67 × 83,001.48
  4. Step 4: Simplify right side
    209,272.58x = 26,039,611,922.51
  5. Step 5: Solve for x
    x = 26,039,611,922.51/209,272.58
  6. Step 6: Final answer
    x = 124,429.17

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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.