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Finding the Fourth Proportional to 117,033.78, 175,509.16 and 42,133.82

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Solution

The fourth proportional to 117,033.78, 175,509.16 and 42,133.82 is: 63,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,033.78 : 175,509.16 = 42,133.82 : x
  2. Step 2: Convert to fraction form
    117,033.78/175,509.16 = 42,133.82/x
  3. Step 3: Cross multiply
    117,033.78x = 175,509.16 × 42,133.82
  4. Step 4: Simplify right side
    117,033.78x = 7,394,870,267.58
  5. Step 5: Solve for x
    x = 7,394,870,267.58/117,033.78
  6. Step 6: Final answer
    x = 63,185.78

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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.