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Finding the Fourth Proportional to 191,593.44, 264,407.12 and 106,710.50

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Solution

The fourth proportional to 191,593.44, 264,407.12 and 106,710.50 is: 147,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,593.44 : 264,407.12 = 106,710.50 : x
  2. Step 2: Convert to fraction form
    191,593.44/264,407.12 = 106,710.50/x
  3. Step 3: Cross multiply
    191,593.44x = 264,407.12 × 106,710.50
  4. Step 4: Simplify right side
    191,593.44x = 28,215,015,978.76
  5. Step 5: Solve for x
    x = 28,215,015,978.76/191,593.44
  6. Step 6: Final answer
    x = 147,265.04

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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.