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Finding the Fourth Proportional to 106,933, 147,606.44 and 62,221

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Solution

The fourth proportional to 106,933, 147,606.44 and 62,221 is: 85,887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,933 : 147,606.44 = 62,221 : x
  2. Step 2: Convert to fraction form
    106,933/147,606.44 = 62,221/x
  3. Step 3: Cross multiply
    106,933x = 147,606.44 × 62,221
  4. Step 4: Simplify right side
    106,933x = 9,184,220,303.24
  5. Step 5: Solve for x
    x = 9,184,220,303.24/106,933
  6. Step 6: Final answer
    x = 85,887.61

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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.