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Finding the Fourth Proportional to 122,530.41, 183,632.04 and 65,487.42

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Solution

The fourth proportional to 122,530.41, 183,632.04 and 65,487.42 is: 98,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,530.41 : 183,632.04 = 65,487.42 : x
  2. Step 2: Convert to fraction form
    122,530.41/183,632.04 = 65,487.42/x
  3. Step 3: Cross multiply
    122,530.41x = 183,632.04 × 65,487.42
  4. Step 4: Simplify right side
    122,530.41x = 12,025,588,528.94
  5. Step 5: Solve for x
    x = 12,025,588,528.94/122,530.41
  6. Step 6: Final answer
    x = 98,143.71

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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.