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Finding the Fourth Proportional to 205,416.40, 307,865.40 and 100,008.40

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Solution

The fourth proportional to 205,416.40, 307,865.40 and 100,008.40 is: 149,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,416.40 : 307,865.40 = 100,008.40 : x
  2. Step 2: Convert to fraction form
    205,416.40/307,865.40 = 100,008.40/x
  3. Step 3: Cross multiply
    205,416.40x = 307,865.40 × 100,008.40
  4. Step 4: Simplify right side
    205,416.40x = 30,789,126,069.36
  5. Step 5: Solve for x
    x = 30,789,126,069.36/205,416.40
  6. Step 6: Final answer
    x = 149,886.41

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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.