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Finding the Fourth Proportional to 207,106.65, 310,659.45 and 57,346.44

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Solution

The fourth proportional to 207,106.65, 310,659.45 and 57,346.44 is: 86,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,106.65 : 310,659.45 = 57,346.44 : x
  2. Step 2: Convert to fraction form
    207,106.65/310,659.45 = 57,346.44/x
  3. Step 3: Cross multiply
    207,106.65x = 310,659.45 × 57,346.44
  4. Step 4: Simplify right side
    207,106.65x = 17,815,211,669.83
  5. Step 5: Solve for x
    x = 17,815,211,669.83/207,106.65
  6. Step 6: Final answer
    x = 86,019.51

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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.