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Finding the Fourth Proportional to 117,265, 175,897.50 and 51,601

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Solution

The fourth proportional to 117,265, 175,897.50 and 51,601 is: 77,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,265 : 175,897.50 = 51,601 : x
  2. Step 2: Convert to fraction form
    117,265/175,897.50 = 51,601/x
  3. Step 3: Cross multiply
    117,265x = 175,897.50 × 51,601
  4. Step 4: Simplify right side
    117,265x = 9,076,486,897.50
  5. Step 5: Solve for x
    x = 9,076,486,897.50/117,265
  6. Step 6: Final answer
    x = 77,401.50

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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.