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Finding the Fourth Proportional to 191,040.76, 286,361.82 and 106,677.24

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Solution

The fourth proportional to 191,040.76, 286,361.82 and 106,677.24 is: 159,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,040.76 : 286,361.82 = 106,677.24 : x
  2. Step 2: Convert to fraction form
    191,040.76/286,361.82 = 106,677.24/x
  3. Step 3: Cross multiply
    191,040.76x = 286,361.82 × 106,677.24
  4. Step 4: Simplify right side
    191,040.76x = 30,548,288,598.98
  5. Step 5: Solve for x
    x = 30,548,288,598.98/191,040.76
  6. Step 6: Final answer
    x = 159,904.56

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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.