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Finding the Fourth Proportional to 106,102.70, 146,372.64 and 63,587.42

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Solution

The fourth proportional to 106,102.70, 146,372.64 and 63,587.42 is: 87,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,102.70 : 146,372.64 = 63,587.42 : x
  2. Step 2: Convert to fraction form
    106,102.70/146,372.64 = 63,587.42/x
  3. Step 3: Cross multiply
    106,102.70x = 146,372.64 × 63,587.42
  4. Step 4: Simplify right side
    106,102.70x = 9,307,458,536.19
  5. Step 5: Solve for x
    x = 9,307,458,536.19/106,102.70
  6. Step 6: Final answer
    x = 87,721.22

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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.