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Finding the Fourth Proportional to 102,022.10, 153,033.15 and 101,037.95

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Solution

The fourth proportional to 102,022.10, 153,033.15 and 101,037.95 is: 151,556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,022.10 : 153,033.15 = 101,037.95 : x
  2. Step 2: Convert to fraction form
    102,022.10/153,033.15 = 101,037.95/x
  3. Step 3: Cross multiply
    102,022.10x = 153,033.15 × 101,037.95
  4. Step 4: Simplify right side
    102,022.10x = 15,462,155,758.04
  5. Step 5: Solve for x
    x = 15,462,155,758.04/102,022.10
  6. Step 6: Final answer
    x = 151,556.93

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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.