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Finding the Fourth Proportional to 191,900.26, 264,823.86 and 107,019.28

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Solution

The fourth proportional to 191,900.26, 264,823.86 and 107,019.28 is: 147,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,900.26 : 264,823.86 = 107,019.28 : x
  2. Step 2: Convert to fraction form
    191,900.26/264,823.86 = 107,019.28/x
  3. Step 3: Cross multiply
    191,900.26x = 264,823.86 × 107,019.28
  4. Step 4: Simplify right side
    191,900.26x = 28,341,258,824.02
  5. Step 5: Solve for x
    x = 28,341,258,824.02/191,900.26
  6. Step 6: Final answer
    x = 147,687.44

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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.