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Finding the Fourth Proportional to 106,187.34, 146,530.98 and 63,164.46

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Solution

The fourth proportional to 106,187.34, 146,530.98 and 63,164.46 is: 87,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,187.34 : 146,530.98 = 63,164.46 : x
  2. Step 2: Convert to fraction form
    106,187.34/146,530.98 = 63,164.46/x
  3. Step 3: Cross multiply
    106,187.34x = 146,530.98 × 63,164.46
  4. Step 4: Simplify right side
    106,187.34x = 9,255,550,224.97
  5. Step 5: Solve for x
    x = 9,255,550,224.97/106,187.34
  6. Step 6: Final answer
    x = 87,162.46

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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.