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Finding the Fourth Proportional to 301,934.32, 452,975.62 and 150,203

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Solution

The fourth proportional to 301,934.32, 452,975.62 and 150,203 is: 225,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,934.32 : 452,975.62 = 150,203 : x
  2. Step 2: Convert to fraction form
    301,934.32/452,975.62 = 150,203/x
  3. Step 3: Cross multiply
    301,934.32x = 452,975.62 × 150,203
  4. Step 4: Simplify right side
    301,934.32x = 68,038,297,050.86
  5. Step 5: Solve for x
    x = 68,038,297,050.86/301,934.32
  6. Step 6: Final answer
    x = 225,341.38

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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.