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Finding the Fourth Proportional to 122,187.80, 183,224.18 and 47,343

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Solution

The fourth proportional to 122,187.80, 183,224.18 and 47,343 is: 70,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,187.80 : 183,224.18 = 47,343 : x
  2. Step 2: Convert to fraction form
    122,187.80/183,224.18 = 47,343/x
  3. Step 3: Cross multiply
    122,187.80x = 183,224.18 × 47,343
  4. Step 4: Simplify right side
    122,187.80x = 8,674,382,353.74
  5. Step 5: Solve for x
    x = 8,674,382,353.74/122,187.80
  6. Step 6: Final answer
    x = 70,992.21

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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.