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Finding the Fourth Proportional to 114,297.12, 171,463.68 and 35,392.68

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Solution

The fourth proportional to 114,297.12, 171,463.68 and 35,392.68 is: 53,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,297.12 : 171,463.68 = 35,392.68 : x
  2. Step 2: Convert to fraction form
    114,297.12/171,463.68 = 35,392.68/x
  3. Step 3: Cross multiply
    114,297.12x = 171,463.68 × 35,392.68
  4. Step 4: Simplify right side
    114,297.12x = 6,068,559,157.86
  5. Step 5: Solve for x
    x = 6,068,559,157.86/114,297.12
  6. Step 6: Final answer
    x = 53,094.59

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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.