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Finding the Fourth Proportional to 122,302.84, 183,472.44 and 43,410.46

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Solution

The fourth proportional to 122,302.84, 183,472.44 and 43,410.46 is: 65,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,302.84 : 183,472.44 = 43,410.46 : x
  2. Step 2: Convert to fraction form
    122,302.84/183,472.44 = 43,410.46/x
  3. Step 3: Cross multiply
    122,302.84x = 183,472.44 × 43,410.46
  4. Step 4: Simplify right side
    122,302.84x = 7,964,623,017.72
  5. Step 5: Solve for x
    x = 7,964,623,017.72/122,302.84
  6. Step 6: Final answer
    x = 65,122.14

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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.