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Finding the Fourth Proportional to 153,682.47, 230,468.25 and 64,942.83

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Solution

The fourth proportional to 153,682.47, 230,468.25 and 64,942.83 is: 97,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,682.47 : 230,468.25 = 64,942.83 : x
  2. Step 2: Convert to fraction form
    153,682.47/230,468.25 = 64,942.83/x
  3. Step 3: Cross multiply
    153,682.47x = 230,468.25 × 64,942.83
  4. Step 4: Simplify right side
    153,682.47x = 14,967,260,380.15
  5. Step 5: Solve for x
    x = 14,967,260,380.15/153,682.47
  6. Step 6: Final answer
    x = 97,390.81

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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.