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Finding the Fourth Proportional to 122,564.88, 183,801.96 and 43,658.16

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Solution

The fourth proportional to 122,564.88, 183,801.96 and 43,658.16 is: 65,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,564.88 : 183,801.96 = 43,658.16 : x
  2. Step 2: Convert to fraction form
    122,564.88/183,801.96 = 43,658.16/x
  3. Step 3: Cross multiply
    122,564.88x = 183,801.96 × 43,658.16
  4. Step 4: Simplify right side
    122,564.88x = 8,024,455,377.99
  5. Step 5: Solve for x
    x = 8,024,455,377.99/122,564.88
  6. Step 6: Final answer
    x = 65,471.08

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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.