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Finding the Fourth Proportional to 122,305.96, 183,486.48 and 43,420.06

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Solution

The fourth proportional to 122,305.96, 183,486.48 and 43,420.06 is: 65,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,305.96 : 183,486.48 = 43,420.06 : x
  2. Step 2: Convert to fraction form
    122,305.96/183,486.48 = 43,420.06/x
  3. Step 3: Cross multiply
    122,305.96x = 183,486.48 × 43,420.06
  4. Step 4: Simplify right side
    122,305.96x = 7,966,993,970.79
  5. Step 5: Solve for x
    x = 7,966,993,970.79/122,305.96
  6. Step 6: Final answer
    x = 65,139.87

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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.