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Finding the Fourth Proportional to 153,603, 230,404.50 and 36,867

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Solution

The fourth proportional to 153,603, 230,404.50 and 36,867 is: 55,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,603 : 230,404.50 = 36,867 : x
  2. Step 2: Convert to fraction form
    153,603/230,404.50 = 36,867/x
  3. Step 3: Cross multiply
    153,603x = 230,404.50 × 36,867
  4. Step 4: Simplify right side
    153,603x = 8,494,322,701.50
  5. Step 5: Solve for x
    x = 8,494,322,701.50/153,603
  6. Step 6: Final answer
    x = 55,300.50

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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.