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Finding the Fourth Proportional to 117,585, 162,267.30 and 64,593

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Solution

The fourth proportional to 117,585, 162,267.30 and 64,593 is: 89,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,585 : 162,267.30 = 64,593 : x
  2. Step 2: Convert to fraction form
    117,585/162,267.30 = 64,593/x
  3. Step 3: Cross multiply
    117,585x = 162,267.30 × 64,593
  4. Step 4: Simplify right side
    117,585x = 10,481,331,708.90
  5. Step 5: Solve for x
    x = 10,481,331,708.90/117,585
  6. Step 6: Final answer
    x = 89,138.34

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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.