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Finding the Fourth Proportional to 119,293.52, 164,625 and 65,582

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Solution

The fourth proportional to 119,293.52, 164,625 and 65,582 is: 90,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,293.52 : 164,625 = 65,582 : x
  2. Step 2: Convert to fraction form
    119,293.52/164,625 = 65,582/x
  3. Step 3: Cross multiply
    119,293.52x = 164,625 × 65,582
  4. Step 4: Simplify right side
    119,293.52x = 10,796,436,750
  5. Step 5: Solve for x
    x = 10,796,436,750/119,293.52
  6. Step 6: Final answer
    x = 90,503.13

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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.