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Finding the Fourth Proportional to 106,203.41, 146,564.61 and 58,458.77

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Solution

The fourth proportional to 106,203.41, 146,564.61 and 58,458.77 is: 80,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,203.41 : 146,564.61 = 58,458.77 : x
  2. Step 2: Convert to fraction form
    106,203.41/146,564.61 = 58,458.77/x
  3. Step 3: Cross multiply
    106,203.41x = 146,564.61 × 58,458.77
  4. Step 4: Simplify right side
    106,203.41x = 8,567,986,826.13
  5. Step 5: Solve for x
    x = 8,567,986,826.13/106,203.41
  6. Step 6: Final answer
    x = 80,675.25

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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.