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Finding the Fourth Proportional to 207,071.98, 310,614.95 and 57,299.81

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Solution

The fourth proportional to 207,071.98, 310,614.95 and 57,299.81 is: 85,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,071.98 : 310,614.95 = 57,299.81 : x
  2. Step 2: Convert to fraction form
    207,071.98/310,614.95 = 57,299.81/x
  3. Step 3: Cross multiply
    207,071.98x = 310,614.95 × 57,299.81
  4. Step 4: Simplify right side
    207,071.98x = 17,798,176,208.33
  5. Step 5: Solve for x
    x = 17,798,176,208.33/207,071.98
  6. Step 6: Final answer
    x = 85,951.64

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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.