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Finding the Fourth Proportional to 127,513.50, 191,228.90 and 42,105.15

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Solution

The fourth proportional to 127,513.50, 191,228.90 and 42,105.15 is: 63,144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,513.50 : 191,228.90 = 42,105.15 : x
  2. Step 2: Convert to fraction form
    127,513.50/191,228.90 = 42,105.15/x
  3. Step 3: Cross multiply
    127,513.50x = 191,228.90 × 42,105.15
  4. Step 4: Simplify right side
    127,513.50x = 8,051,721,308.31
  5. Step 5: Solve for x
    x = 8,051,721,308.31/127,513.50
  6. Step 6: Final answer
    x = 63,144.07

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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.