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Finding the Fourth Proportional to 207,106.88, 310,664.09 and 64,948.97

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Solution

The fourth proportional to 207,106.88, 310,664.09 and 64,948.97 is: 97,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,106.88 : 310,664.09 = 64,948.97 : x
  2. Step 2: Convert to fraction form
    207,106.88/310,664.09 = 64,948.97/x
  3. Step 3: Cross multiply
    207,106.88x = 310,664.09 × 64,948.97
  4. Step 4: Simplify right side
    207,106.88x = 20,177,313,600.52
  5. Step 5: Solve for x
    x = 20,177,313,600.52/207,106.88
  6. Step 6: Final answer
    x = 97,424.64

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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.