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Finding the Fourth Proportional to 117,267, 175,900.50 and 51,603

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Solution

The fourth proportional to 117,267, 175,900.50 and 51,603 is: 77,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,267 : 175,900.50 = 51,603 : x
  2. Step 2: Convert to fraction form
    117,267/175,900.50 = 51,603/x
  3. Step 3: Cross multiply
    117,267x = 175,900.50 × 51,603
  4. Step 4: Simplify right side
    117,267x = 9,076,993,501.50
  5. Step 5: Solve for x
    x = 9,076,993,501.50/117,267
  6. Step 6: Final answer
    x = 77,404.50

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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.