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Finding the Fourth Proportional to 100,648.48, 138,907.98 and 64,942.36

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Solution

The fourth proportional to 100,648.48, 138,907.98 and 64,942.36 is: 89,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,648.48 : 138,907.98 = 64,942.36 : x
  2. Step 2: Convert to fraction form
    100,648.48/138,907.98 = 64,942.36/x
  3. Step 3: Cross multiply
    100,648.48x = 138,907.98 × 64,942.36
  4. Step 4: Simplify right side
    100,648.48x = 9,021,012,044.03
  5. Step 5: Solve for x
    x = 9,021,012,044.03/100,648.48
  6. Step 6: Final answer
    x = 89,628.89

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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.