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Finding the Fourth Proportional to 208,064.02, 312,069.73 and 65,923.71

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Solution

The fourth proportional to 208,064.02, 312,069.73 and 65,923.71 is: 98,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,064.02 : 312,069.73 = 65,923.71 : x
  2. Step 2: Convert to fraction form
    208,064.02/312,069.73 = 65,923.71/x
  3. Step 3: Cross multiply
    208,064.02x = 312,069.73 × 65,923.71
  4. Step 4: Simplify right side
    208,064.02x = 20,572,794,207.26
  5. Step 5: Solve for x
    x = 20,572,794,207.26/208,064.02
  6. Step 6: Final answer
    x = 98,877.23

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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.