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Finding the Fourth Proportional to 114,103.08, 171,173.16 and 35,199

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Solution

The fourth proportional to 114,103.08, 171,173.16 and 35,199 is: 52,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,103.08 : 171,173.16 = 35,199 : x
  2. Step 2: Convert to fraction form
    114,103.08/171,173.16 = 35,199/x
  3. Step 3: Cross multiply
    114,103.08x = 171,173.16 × 35,199
  4. Step 4: Simplify right side
    114,103.08x = 6,025,124,058.84
  5. Step 5: Solve for x
    x = 6,025,124,058.84/114,103.08
  6. Step 6: Final answer
    x = 52,804.22

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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.