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Finding the Fourth Proportional to 191,712.97, 264,564.95 and 111,188.24

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Solution

The fourth proportional to 191,712.97, 264,564.95 and 111,188.24 is: 153,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,712.97 : 264,564.95 = 111,188.24 : x
  2. Step 2: Convert to fraction form
    191,712.97/264,564.95 = 111,188.24/x
  3. Step 3: Cross multiply
    191,712.97x = 264,564.95 × 111,188.24
  4. Step 4: Simplify right side
    191,712.97x = 29,416,510,600.25
  5. Step 5: Solve for x
    x = 29,416,510,600.25/191,712.97
  6. Step 6: Final answer
    x = 153,440.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.