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Finding the Fourth Proportional to 204,053.84, 306,081.45 and 70,935.20

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Solution

The fourth proportional to 204,053.84, 306,081.45 and 70,935.20 is: 106,403.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,053.84 : 306,081.45 = 70,935.20 : x
  2. Step 2: Convert to fraction form
    204,053.84/306,081.45 = 70,935.20/x
  3. Step 3: Cross multiply
    204,053.84x = 306,081.45 × 70,935.20
  4. Step 4: Simplify right side
    204,053.84x = 21,711,947,341.63
  5. Step 5: Solve for x
    x = 21,711,947,341.63/204,053.84
  6. Step 6: Final answer
    x = 106,403.03

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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.