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Finding the Fourth Proportional to 343,183.74, 514,753.02 and 118,547.40

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Solution

The fourth proportional to 343,183.74, 514,753.02 and 118,547.40 is: 177,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,183.74 : 514,753.02 = 118,547.40 : x
  2. Step 2: Convert to fraction form
    343,183.74/514,753.02 = 118,547.40/x
  3. Step 3: Cross multiply
    343,183.74x = 514,753.02 × 118,547.40
  4. Step 4: Simplify right side
    343,183.74x = 61,022,632,163.15
  5. Step 5: Solve for x
    x = 61,022,632,163.15/343,183.74
  6. Step 6: Final answer
    x = 177,813.30

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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.