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Finding the Fourth Proportional to 117,266, 175,899 and 51,602

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Solution

The fourth proportional to 117,266, 175,899 and 51,602 is: 77,403

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,266 : 175,899 = 51,602 : x
  2. Step 2: Convert to fraction form
    117,266/175,899 = 51,602/x
  3. Step 3: Cross multiply
    117,266x = 175,899 × 51,602
  4. Step 4: Simplify right side
    117,266x = 9,076,740,198
  5. Step 5: Solve for x
    x = 9,076,740,198/117,266
  6. Step 6: Final answer
    x = 77,403

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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.