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Finding the Fourth Proportional to 122,643.60, 183,965.40 and 102,814.80

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Solution

The fourth proportional to 122,643.60, 183,965.40 and 102,814.80 is: 154,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,643.60 : 183,965.40 = 102,814.80 : x
  2. Step 2: Convert to fraction form
    122,643.60/183,965.40 = 102,814.80/x
  3. Step 3: Cross multiply
    122,643.60x = 183,965.40 × 102,814.80
  4. Step 4: Simplify right side
    122,643.60x = 18,914,365,807.92
  5. Step 5: Solve for x
    x = 18,914,365,807.92/122,643.60
  6. Step 6: Final answer
    x = 154,222.20

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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.