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Finding the Fourth Proportional to 205,300.10, 307,950.15 and 150,004.10

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Solution

The fourth proportional to 205,300.10, 307,950.15 and 150,004.10 is: 225,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,300.10 : 307,950.15 = 150,004.10 : x
  2. Step 2: Convert to fraction form
    205,300.10/307,950.15 = 150,004.10/x
  3. Step 3: Cross multiply
    205,300.10x = 307,950.15 × 150,004.10
  4. Step 4: Simplify right side
    205,300.10x = 46,193,785,095.62
  5. Step 5: Solve for x
    x = 46,193,785,095.62/205,300.10
  6. Step 6: Final answer
    x = 225,006.15

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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.