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Finding the Fourth Proportional to 122,187.16, 183,273.98 and 33,434.30

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Solution

The fourth proportional to 122,187.16, 183,273.98 and 33,434.30 is: 50,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,187.16 : 183,273.98 = 33,434.30 : x
  2. Step 2: Convert to fraction form
    122,187.16/183,273.98 = 33,434.30/x
  3. Step 3: Cross multiply
    122,187.16x = 183,273.98 × 33,434.30
  4. Step 4: Simplify right side
    122,187.16x = 6,127,637,229.51
  5. Step 5: Solve for x
    x = 6,127,637,229.51/122,187.16
  6. Step 6: Final answer
    x = 50,149.60

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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.