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Finding the Fourth Proportional to 122,308.80, 183,463.20 and 102,625.80

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Solution

The fourth proportional to 122,308.80, 183,463.20 and 102,625.80 is: 153,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,308.80 : 183,463.20 = 102,625.80 : x
  2. Step 2: Convert to fraction form
    122,308.80/183,463.20 = 102,625.80/x
  3. Step 3: Cross multiply
    122,308.80x = 183,463.20 × 102,625.80
  4. Step 4: Simplify right side
    122,308.80x = 18,828,057,670.56
  5. Step 5: Solve for x
    x = 18,828,057,670.56/122,308.80
  6. Step 6: Final answer
    x = 153,938.70

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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.