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Finding the Fourth Proportional to 96,106.73, 144,186.39 and 46,228.55

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Solution

The fourth proportional to 96,106.73, 144,186.39 and 46,228.55 is: 69,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,106.73 : 144,186.39 = 46,228.55 : x
  2. Step 2: Convert to fraction form
    96,106.73/144,186.39 = 46,228.55/x
  3. Step 3: Cross multiply
    96,106.73x = 144,186.39 × 46,228.55
  4. Step 4: Simplify right side
    96,106.73x = 6,665,527,018.50
  5. Step 5: Solve for x
    x = 6,665,527,018.50/96,106.73
  6. Step 6: Final answer
    x = 69,355.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.