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Finding the Fourth Proportional to 191,435.73, 264,171.27 and 105,377.90

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Solution

The fourth proportional to 191,435.73, 264,171.27 and 105,377.90 is: 145,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,435.73 : 264,171.27 = 105,377.90 : x
  2. Step 2: Convert to fraction form
    191,435.73/264,171.27 = 105,377.90/x
  3. Step 3: Cross multiply
    191,435.73x = 264,171.27 × 105,377.90
  4. Step 4: Simplify right side
    191,435.73x = 27,837,814,233.21
  5. Step 5: Solve for x
    x = 27,837,814,233.21/191,435.73
  6. Step 6: Final answer
    x = 145,415.98

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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.