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Finding the Fourth Proportional to 152,914.66, 211,022.23 and 85,846.66

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Solution

The fourth proportional to 152,914.66, 211,022.23 and 85,846.66 is: 118,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,914.66 : 211,022.23 = 85,846.66 : x
  2. Step 2: Convert to fraction form
    152,914.66/211,022.23 = 85,846.66/x
  3. Step 3: Cross multiply
    152,914.66x = 211,022.23 × 85,846.66
  4. Step 4: Simplify right side
    152,914.66x = 18,115,553,631.25
  5. Step 5: Solve for x
    x = 18,115,553,631.25/152,914.66
  6. Step 6: Final answer
    x = 118,468.39

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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.