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Finding the Fourth Proportional to 175,891.50, 242,738.91 and 96,403.50

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Solution

The fourth proportional to 175,891.50, 242,738.91 and 96,403.50 is: 133,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,891.50 : 242,738.91 = 96,403.50 : x
  2. Step 2: Convert to fraction form
    175,891.50/242,738.91 = 96,403.50/x
  3. Step 3: Cross multiply
    175,891.50x = 242,738.91 × 96,403.50
  4. Step 4: Simplify right side
    175,891.50x = 23,400,880,510.19
  5. Step 5: Solve for x
    x = 23,400,880,510.19/175,891.50
  6. Step 6: Final answer
    x = 133,041.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.