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Finding the Fourth Proportional to 106,494.66, 146,961.81 and 58,750.02

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Solution

The fourth proportional to 106,494.66, 146,961.81 and 58,750.02 is: 81,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,494.66 : 146,961.81 = 58,750.02 : x
  2. Step 2: Convert to fraction form
    106,494.66/146,961.81 = 58,750.02/x
  3. Step 3: Cross multiply
    106,494.66x = 146,961.81 × 58,750.02
  4. Step 4: Simplify right side
    106,494.66x = 8,634,009,276.74
  5. Step 5: Solve for x
    x = 8,634,009,276.74/106,494.66
  6. Step 6: Final answer
    x = 81,074.57

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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.