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Finding the Fourth Proportional to 205,415.40, 307,863.90 and 100,007.40

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Solution

The fourth proportional to 205,415.40, 307,863.90 and 100,007.40 is: 149,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,415.40 : 307,863.90 = 100,007.40 : x
  2. Step 2: Convert to fraction form
    205,415.40/307,863.90 = 100,007.40/x
  3. Step 3: Cross multiply
    205,415.40x = 307,863.90 × 100,007.40
  4. Step 4: Simplify right side
    205,415.40x = 30,788,668,192.86
  5. Step 5: Solve for x
    x = 30,788,668,192.86/205,415.40
  6. Step 6: Final answer
    x = 149,884.91

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1.5x scale

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.