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Finding the Fourth Proportional to 106,049.61, 146,348.84 and 58,305.98

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Solution

The fourth proportional to 106,049.61, 146,348.84 and 58,305.98 is: 80,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,049.61 : 146,348.84 = 58,305.98 : x
  2. Step 2: Convert to fraction form
    106,049.61/146,348.84 = 58,305.98/x
  3. Step 3: Cross multiply
    106,049.61x = 146,348.84 × 58,305.98
  4. Step 4: Simplify right side
    106,049.61x = 8,533,012,538.06
  5. Step 5: Solve for x
    x = 8,533,012,538.06/106,049.61
  6. Step 6: Final answer
    x = 80,462.46

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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.