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Finding the Fourth Proportional to 109,493.42, 151,096.32 and 61,751.21

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Solution

The fourth proportional to 109,493.42, 151,096.32 and 61,751.21 is: 85,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,493.42 : 151,096.32 = 61,751.21 : x
  2. Step 2: Convert to fraction form
    109,493.42/151,096.32 = 61,751.21/x
  3. Step 3: Cross multiply
    109,493.42x = 151,096.32 × 61,751.21
  4. Step 4: Simplify right side
    109,493.42x = 9,330,379,831.07
  5. Step 5: Solve for x
    x = 9,330,379,831.07/109,493.42
  6. Step 6: Final answer
    x = 85,214.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.