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Finding the Fourth Proportional to 208,652.81, 313,002.23 and 66,465.01

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Solution

The fourth proportional to 208,652.81, 313,002.23 and 66,465.01 is: 99,704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,652.81 : 313,002.23 = 66,465.01 : x
  2. Step 2: Convert to fraction form
    208,652.81/313,002.23 = 66,465.01/x
  3. Step 3: Cross multiply
    208,652.81x = 313,002.23 × 66,465.01
  4. Step 4: Simplify right side
    208,652.81x = 20,803,694,645.26
  5. Step 5: Solve for x
    x = 20,803,694,645.26/208,652.81
  6. Step 6: Final answer
    x = 99,704.84

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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.