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Finding the Fourth Proportional to 100,913.86, 151,369.14 and 34,400.32

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Solution

The fourth proportional to 100,913.86, 151,369.14 and 34,400.32 is: 51,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,913.86 : 151,369.14 = 34,400.32 : x
  2. Step 2: Convert to fraction form
    100,913.86/151,369.14 = 34,400.32/x
  3. Step 3: Cross multiply
    100,913.86x = 151,369.14 × 34,400.32
  4. Step 4: Simplify right side
    100,913.86x = 5,207,146,854.12
  5. Step 5: Solve for x
    x = 5,207,146,854.12/100,913.86
  6. Step 6: Final answer
    x = 51,599.92

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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.