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Finding the Fourth Proportional to 144,146, 216,163.92 and 69,244.80

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Solution

The fourth proportional to 144,146, 216,163.92 and 69,244.80 is: 103,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,146 : 216,163.92 = 69,244.80 : x
  2. Step 2: Convert to fraction form
    144,146/216,163.92 = 69,244.80/x
  3. Step 3: Cross multiply
    144,146x = 216,163.92 × 69,244.80
  4. Step 4: Simplify right side
    144,146x = 14,968,227,407.62
  5. Step 5: Solve for x
    x = 14,968,227,407.62/144,146
  6. Step 6: Final answer
    x = 103,840.74

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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.