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Finding the Fourth Proportional to 106,072.25, 146,384.96 and 65,798.98

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Solution

The fourth proportional to 106,072.25, 146,384.96 and 65,798.98 is: 90,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,072.25 : 146,384.96 = 65,798.98 : x
  2. Step 2: Convert to fraction form
    106,072.25/146,384.96 = 65,798.98/x
  3. Step 3: Cross multiply
    106,072.25x = 146,384.96 × 65,798.98
  4. Step 4: Simplify right side
    106,072.25x = 9,631,980,726.35
  5. Step 5: Solve for x
    x = 9,631,980,726.35/106,072.25
  6. Step 6: Final answer
    x = 90,805.85

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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.