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Finding the Fourth Proportional to 106,384.32, 146,810.66 and 58,637.86

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Solution

The fourth proportional to 106,384.32, 146,810.66 and 58,637.86 is: 80,920.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,384.32 : 146,810.66 = 58,637.86 : x
  2. Step 2: Convert to fraction form
    106,384.32/146,810.66 = 58,637.86/x
  3. Step 3: Cross multiply
    106,384.32x = 146,810.66 × 58,637.86
  4. Step 4: Simplify right side
    106,384.32x = 8,608,662,267.37
  5. Step 5: Solve for x
    x = 8,608,662,267.37/106,384.32
  6. Step 6: Final answer
    x = 80,920.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.