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Finding the Fourth Proportional to 122,487.40, 183,840.45 and 105,866.20

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Solution

The fourth proportional to 122,487.40, 183,840.45 and 105,866.20 is: 158,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,487.40 : 183,840.45 = 105,866.20 : x
  2. Step 2: Convert to fraction form
    122,487.40/183,840.45 = 105,866.20/x
  3. Step 3: Cross multiply
    122,487.40x = 183,840.45 × 105,866.20
  4. Step 4: Simplify right side
    122,487.40x = 19,462,489,847.79
  5. Step 5: Solve for x
    x = 19,462,489,847.79/122,487.40
  6. Step 6: Final answer
    x = 158,893.81

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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.