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Finding the Fourth Proportional to 122,382.69, 183,529.17 and 42,400.00

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Solution

The fourth proportional to 122,382.69, 183,529.17 and 42,400.00 is: 63,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,382.69 : 183,529.17 = 42,400.00 : x
  2. Step 2: Convert to fraction form
    122,382.69/183,529.17 = 42,400.00/x
  3. Step 3: Cross multiply
    122,382.69x = 183,529.17 × 42,400.00
  4. Step 4: Simplify right side
    122,382.69x = 7,781,637,037.41
  5. Step 5: Solve for x
    x = 7,781,637,037.41/122,382.69
  6. Step 6: Final answer
    x = 63,584.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.