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Finding the Fourth Proportional to 264,718.66, 396,854.93 and 114,846.18

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Solution

The fourth proportional to 264,718.66, 396,854.93 and 114,846.18 is: 172,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,718.66 : 396,854.93 = 114,846.18 : x
  2. Step 2: Convert to fraction form
    264,718.66/396,854.93 = 114,846.18/x
  3. Step 3: Cross multiply
    264,718.66x = 396,854.93 × 114,846.18
  4. Step 4: Simplify right side
    264,718.66x = 45,577,272,150.44
  5. Step 5: Solve for x
    x = 45,577,272,150.44/264,718.66
  6. Step 6: Final answer
    x = 172,172.50

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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.