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Finding the Fourth Proportional to 122,538.84, 183,845.18 and 43,642.80

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Solution

The fourth proportional to 122,538.84, 183,845.18 and 43,642.80 is: 65,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,538.84 : 183,845.18 = 43,642.80 : x
  2. Step 2: Convert to fraction form
    122,538.84/183,845.18 = 43,642.80/x
  3. Step 3: Cross multiply
    122,538.84x = 183,845.18 × 43,642.80
  4. Step 4: Simplify right side
    122,538.84x = 8,023,518,203.49
  5. Step 5: Solve for x
    x = 8,023,518,203.49/122,538.84
  6. Step 6: Final answer
    x = 65,477.35

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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.