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Finding the Fourth Proportional to 264,569.76, 396,329.76 and 123,901.92

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Solution

The fourth proportional to 264,569.76, 396,329.76 and 123,901.92 is: 185,607.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,569.76 : 396,329.76 = 123,901.92 : x
  2. Step 2: Convert to fraction form
    264,569.76/396,329.76 = 123,901.92/x
  3. Step 3: Cross multiply
    264,569.76x = 396,329.76 × 123,901.92
  4. Step 4: Simplify right side
    264,569.76x = 49,106,018,217.14
  5. Step 5: Solve for x
    x = 49,106,018,217.14/264,569.76
  6. Step 6: Final answer
    x = 185,607.07

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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.