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Finding the Fourth Proportional to 264,803.49, 396,981.32 and 114,931.13

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Solution

The fourth proportional to 264,803.49, 396,981.32 and 114,931.13 is: 172,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,803.49 : 396,981.32 = 114,931.13 : x
  2. Step 2: Convert to fraction form
    264,803.49/396,981.32 = 114,931.13/x
  3. Step 3: Cross multiply
    264,803.49x = 396,981.32 × 114,931.13
  4. Step 4: Simplify right side
    264,803.49x = 45,625,509,136.93
  5. Step 5: Solve for x
    x = 45,625,509,136.93/264,803.49
  6. Step 6: Final answer
    x = 172,299.50

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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.