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Finding the Fourth Proportional to 300,113.13, 414,124.51 and 179,237.64

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Solution

The fourth proportional to 300,113.13, 414,124.51 and 179,237.64 is: 247,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,113.13 : 414,124.51 = 179,237.64 : x
  2. Step 2: Convert to fraction form
    300,113.13/414,124.51 = 179,237.64/x
  3. Step 3: Cross multiply
    300,113.13x = 414,124.51 × 179,237.64
  4. Step 4: Simplify right side
    300,113.13x = 74,226,698,037.38
  5. Step 5: Solve for x
    x = 74,226,698,037.38/300,113.13
  6. Step 6: Final answer
    x = 247,329.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.