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Finding the Fourth Proportional to 100,961.41, 151,412.95 and 34,400.07

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Solution

The fourth proportional to 100,961.41, 151,412.95 and 34,400.07 is: 51,590.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,961.41 : 151,412.95 = 34,400.07 : x
  2. Step 2: Convert to fraction form
    100,961.41/151,412.95 = 34,400.07/x
  3. Step 3: Cross multiply
    100,961.41x = 151,412.95 × 34,400.07
  4. Step 4: Simplify right side
    100,961.41x = 5,208,615,149.84
  5. Step 5: Solve for x
    x = 5,208,615,149.84/100,961.41
  6. Step 6: Final answer
    x = 51,590.16

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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.