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Finding the Fourth Proportional to 208,001.92, 311,969.76 and 58,226.08

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Solution

The fourth proportional to 208,001.92, 311,969.76 and 58,226.08 is: 87,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,001.92 : 311,969.76 = 58,226.08 : x
  2. Step 2: Convert to fraction form
    208,001.92/311,969.76 = 58,226.08/x
  3. Step 3: Cross multiply
    208,001.92x = 311,969.76 × 58,226.08
  4. Step 4: Simplify right side
    208,001.92x = 18,164,776,203.34
  5. Step 5: Solve for x
    x = 18,164,776,203.34/208,001.92
  6. Step 6: Final answer
    x = 87,329.85

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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.