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Finding the Fourth Proportional to 191,655.30, 264,489.80 and 106,777.83

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Solution

The fourth proportional to 191,655.30, 264,489.80 and 106,777.83 is: 147,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,655.30 : 264,489.80 = 106,777.83 : x
  2. Step 2: Convert to fraction form
    191,655.30/264,489.80 = 106,777.83/x
  3. Step 3: Cross multiply
    191,655.30x = 264,489.80 × 106,777.83
  4. Step 4: Simplify right side
    191,655.30x = 28,241,646,367.24
  5. Step 5: Solve for x
    x = 28,241,646,367.24/191,655.30
  6. Step 6: Final answer
    x = 147,356.46

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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.