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Finding the Fourth Proportional to 96,015.30, 144,022.95 and 96,015.30

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Solution

The fourth proportional to 96,015.30, 144,022.95 and 96,015.30 is: 144,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,015.30 : 144,022.95 = 96,015.30 : x
  2. Step 2: Convert to fraction form
    96,015.30/144,022.95 = 96,015.30/x
  3. Step 3: Cross multiply
    96,015.30x = 144,022.95 × 96,015.30
  4. Step 4: Simplify right side
    96,015.30x = 13,828,406,751.14
  5. Step 5: Solve for x
    x = 13,828,406,751.14/96,015.30
  6. Step 6: Final answer
    x = 144,022.95

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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.