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Finding the Fourth Proportional to 96,462.84, 144,916.04 and 68,065.16

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Solution

The fourth proportional to 96,462.84, 144,916.04 and 68,065.16 is: 102,254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,462.84 : 144,916.04 = 68,065.16 : x
  2. Step 2: Convert to fraction form
    96,462.84/144,916.04 = 68,065.16/x
  3. Step 3: Cross multiply
    96,462.84x = 144,916.04 × 68,065.16
  4. Step 4: Simplify right side
    96,462.84x = 9,863,733,449.17
  5. Step 5: Solve for x
    x = 9,863,733,449.17/96,462.84
  6. Step 6: Final answer
    x = 102,254.23

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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.