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Finding the Fourth Proportional to 144,022.70, 216,034.05 and 144,022.70

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Solution

The fourth proportional to 144,022.70, 216,034.05 and 144,022.70 is: 216,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,022.70 : 216,034.05 = 144,022.70 : x
  2. Step 2: Convert to fraction form
    144,022.70/216,034.05 = 144,022.70/x
  3. Step 3: Cross multiply
    144,022.70x = 216,034.05 × 144,022.70
  4. Step 4: Simplify right side
    144,022.70x = 31,113,807,172.94
  5. Step 5: Solve for x
    x = 31,113,807,172.94/144,022.70
  6. Step 6: Final answer
    x = 216,034.05

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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.