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Finding the Fourth Proportional to 103,202.08, 154,872.16 and 37,538.08

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Solution

The fourth proportional to 103,202.08, 154,872.16 and 37,538.08 is: 56,332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,202.08 : 154,872.16 = 37,538.08 : x
  2. Step 2: Convert to fraction form
    103,202.08/154,872.16 = 37,538.08/x
  3. Step 3: Cross multiply
    103,202.08x = 154,872.16 × 37,538.08
  4. Step 4: Simplify right side
    103,202.08x = 5,813,603,531.85
  5. Step 5: Solve for x
    x = 5,813,603,531.85/103,202.08
  6. Step 6: Final answer
    x = 56,332.23

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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.