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Finding the Fourth Proportional to 113,476.84, 170,366.03 and 96,943.12

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Solution

The fourth proportional to 113,476.84, 170,366.03 and 96,943.12 is: 145,543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,476.84 : 170,366.03 = 96,943.12 : x
  2. Step 2: Convert to fraction form
    113,476.84/170,366.03 = 96,943.12/x
  3. Step 3: Cross multiply
    113,476.84x = 170,366.03 × 96,943.12
  4. Step 4: Simplify right side
    113,476.84x = 16,515,813,880.74
  5. Step 5: Solve for x
    x = 16,515,813,880.74/113,476.84
  6. Step 6: Final answer
    x = 145,543.48

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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.