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Finding the Fourth Proportional to 208,008.92, 311,730.64 and 87,966.08

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Solution

The fourth proportional to 208,008.92, 311,730.64 and 87,966.08 is: 131,829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,008.92 : 311,730.64 = 87,966.08 : x
  2. Step 2: Convert to fraction form
    208,008.92/311,730.64 = 87,966.08/x
  3. Step 3: Cross multiply
    208,008.92x = 311,730.64 × 87,966.08
  4. Step 4: Simplify right side
    208,008.92x = 27,421,722,416.69
  5. Step 5: Solve for x
    x = 27,421,722,416.69/208,008.92
  6. Step 6: Final answer
    x = 131,829.55

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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.