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Finding the Fourth Proportional to 114,079.16, 171,138.20 and 35,178.68

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Solution

The fourth proportional to 114,079.16, 171,138.20 and 35,178.68 is: 52,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,079.16 : 171,138.20 = 35,178.68 : x
  2. Step 2: Convert to fraction form
    114,079.16/171,138.20 = 35,178.68/x
  3. Step 3: Cross multiply
    114,079.16x = 171,138.20 × 35,178.68
  4. Step 4: Simplify right side
    114,079.16x = 6,020,415,973.58
  5. Step 5: Solve for x
    x = 6,020,415,973.58/114,079.16
  6. Step 6: Final answer
    x = 52,774.02

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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.