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Finding the Fourth Proportional to 343,105.92, 514,642.40 and 93,788.48

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Solution

The fourth proportional to 343,105.92, 514,642.40 and 93,788.48 is: 140,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,105.92 : 514,642.40 = 93,788.48 : x
  2. Step 2: Convert to fraction form
    343,105.92/514,642.40 = 93,788.48/x
  3. Step 3: Cross multiply
    343,105.92x = 514,642.40 × 93,788.48
  4. Step 4: Simplify right side
    343,105.92x = 48,267,528,439.55
  5. Step 5: Solve for x
    x = 48,267,528,439.55/343,105.92
  6. Step 6: Final answer
    x = 140,678.22

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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.