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Finding the Fourth Proportional to 105,633.68, 145,774.56 and 63,202.28

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Solution

The fourth proportional to 105,633.68, 145,774.56 and 63,202.28 is: 87,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,633.68 : 145,774.56 = 63,202.28 : x
  2. Step 2: Convert to fraction form
    105,633.68/145,774.56 = 63,202.28/x
  3. Step 3: Cross multiply
    105,633.68x = 145,774.56 × 63,202.28
  4. Step 4: Simplify right side
    105,633.68x = 9,213,284,558.00
  5. Step 5: Solve for x
    x = 9,213,284,558.00/105,633.68
  6. Step 6: Final answer
    x = 87,219.20

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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.