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Finding the Fourth Proportional to 127,658.71, 191,501.16 and 48,839.23

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Solution

The fourth proportional to 127,658.71, 191,501.16 and 48,839.23 is: 73,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,658.71 : 191,501.16 = 48,839.23 : x
  2. Step 2: Convert to fraction form
    127,658.71/191,501.16 = 48,839.23/x
  3. Step 3: Cross multiply
    127,658.71x = 191,501.16 × 48,839.23
  4. Step 4: Simplify right side
    127,658.71x = 9,352,769,198.51
  5. Step 5: Solve for x
    x = 9,352,769,198.51/127,658.71
  6. Step 6: Final answer
    x = 73,263.85

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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.