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Finding the Fourth Proportional to 133,275.78, 199,992.42 and 49,095

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Solution

The fourth proportional to 133,275.78, 199,992.42 and 49,095 is: 73,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,275.78 : 199,992.42 = 49,095 : x
  2. Step 2: Convert to fraction form
    133,275.78/199,992.42 = 49,095/x
  3. Step 3: Cross multiply
    133,275.78x = 199,992.42 × 49,095
  4. Step 4: Simplify right side
    133,275.78x = 9,818,627,859.90
  5. Step 5: Solve for x
    x = 9,818,627,859.90/133,275.78
  6. Step 6: Final answer
    x = 73,671.51

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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.