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Finding the Fourth Proportional to 301,958.92, 452,656.79 and 102,140.27

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Solution

The fourth proportional to 301,958.92, 452,656.79 and 102,140.27 is: 153,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,958.92 : 452,656.79 = 102,140.27 : x
  2. Step 2: Convert to fraction form
    301,958.92/452,656.79 = 102,140.27/x
  3. Step 3: Cross multiply
    301,958.92x = 452,656.79 × 102,140.27
  4. Step 4: Simplify right side
    301,958.92x = 46,234,486,747.93
  5. Step 5: Solve for x
    x = 46,234,486,747.93/301,958.92
  6. Step 6: Final answer
    x = 153,115.15

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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.