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Finding the Fourth Proportional to 313,152.12, 469,731.06 and 99,952.44

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Solution

The fourth proportional to 313,152.12, 469,731.06 and 99,952.44 is: 149,929.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,152.12 : 469,731.06 = 99,952.44 : x
  2. Step 2: Convert to fraction form
    313,152.12/469,731.06 = 99,952.44/x
  3. Step 3: Cross multiply
    313,152.12x = 469,731.06 × 99,952.44
  4. Step 4: Simplify right side
    313,152.12x = 46,950,765,590.79
  5. Step 5: Solve for x
    x = 46,950,765,590.79/313,152.12
  6. Step 6: Final answer
    x = 149,929.58

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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.