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Finding the Fourth Proportional to 367,857, 551,785.50 and 105,201

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Solution

The fourth proportional to 367,857, 551,785.50 and 105,201 is: 157,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,857 : 551,785.50 = 105,201 : x
  2. Step 2: Convert to fraction form
    367,857/551,785.50 = 105,201/x
  3. Step 3: Cross multiply
    367,857x = 551,785.50 × 105,201
  4. Step 4: Simplify right side
    367,857x = 58,048,386,385.50
  5. Step 5: Solve for x
    x = 58,048,386,385.50/367,857
  6. Step 6: Final answer
    x = 157,801.50

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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.