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Finding the Fourth Proportional to 312,671.52, 468,908.82 and 102,260.34

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Solution

The fourth proportional to 312,671.52, 468,908.82 and 102,260.34 is: 153,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,671.52 : 468,908.82 = 102,260.34 : x
  2. Step 2: Convert to fraction form
    312,671.52/468,908.82 = 102,260.34/x
  3. Step 3: Cross multiply
    312,671.52x = 468,908.82 × 102,260.34
  4. Step 4: Simplify right side
    312,671.52x = 47,950,775,362.20
  5. Step 5: Solve for x
    x = 47,950,775,362.20/312,671.52
  6. Step 6: Final answer
    x = 153,358.31

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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.