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Finding the Fourth Proportional to 191,868.68, 264,787 and 106,985.76

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Solution

The fourth proportional to 191,868.68, 264,787 and 106,985.76 is: 147,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,868.68 : 264,787 = 106,985.76 : x
  2. Step 2: Convert to fraction form
    191,868.68/264,787 = 106,985.76/x
  3. Step 3: Cross multiply
    191,868.68x = 264,787 × 106,985.76
  4. Step 4: Simplify right side
    191,868.68x = 28,328,438,433.12
  5. Step 5: Solve for x
    x = 28,328,438,433.12/191,868.68
  6. Step 6: Final answer
    x = 147,644.93

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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.