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Finding the Fourth Proportional to 120,802.24, 181,203.50 and 45,904.78

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Solution

The fourth proportional to 120,802.24, 181,203.50 and 45,904.78 is: 68,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,802.24 : 181,203.50 = 45,904.78 : x
  2. Step 2: Convert to fraction form
    120,802.24/181,203.50 = 45,904.78/x
  3. Step 3: Cross multiply
    120,802.24x = 181,203.50 × 45,904.78
  4. Step 4: Simplify right side
    120,802.24x = 8,318,106,802.73
  5. Step 5: Solve for x
    x = 8,318,106,802.73/120,802.24
  6. Step 6: Final answer
    x = 68,857.22

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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.