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Finding the Fourth Proportional to 96,460.84, 144,913.04 and 68,063.16

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Solution

The fourth proportional to 96,460.84, 144,913.04 and 68,063.16 is: 102,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,460.84 : 144,913.04 = 68,063.16 : x
  2. Step 2: Convert to fraction form
    96,460.84/144,913.04 = 68,063.16/x
  3. Step 3: Cross multiply
    96,460.84x = 144,913.04 × 68,063.16
  4. Step 4: Simplify right side
    96,460.84x = 9,863,239,427.61
  5. Step 5: Solve for x
    x = 9,863,239,427.61/96,460.84
  6. Step 6: Final answer
    x = 102,251.23

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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.