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Finding the Fourth Proportional to 119,514, 164,938.98 and 68,531.46

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Solution

The fourth proportional to 119,514, 164,938.98 and 68,531.46 is: 94,578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,514 : 164,938.98 = 68,531.46 : x
  2. Step 2: Convert to fraction form
    119,514/164,938.98 = 68,531.46/x
  3. Step 3: Cross multiply
    119,514x = 164,938.98 × 68,531.46
  4. Step 4: Simplify right side
    119,514x = 11,303,509,110.31
  5. Step 5: Solve for x
    x = 11,303,509,110.31/119,514
  6. Step 6: Final answer
    x = 94,578.95

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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.