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Finding the Fourth Proportional to 107,083.56, 147,775.26 and 64,064.87

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Solution

The fourth proportional to 107,083.56, 147,775.26 and 64,064.87 is: 88,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,083.56 : 147,775.26 = 64,064.87 : x
  2. Step 2: Convert to fraction form
    107,083.56/147,775.26 = 64,064.87/x
  3. Step 3: Cross multiply
    107,083.56x = 147,775.26 × 64,064.87
  4. Step 4: Simplify right side
    107,083.56x = 9,467,202,821.12
  5. Step 5: Solve for x
    x = 9,467,202,821.12/107,083.56
  6. Step 6: Final answer
    x = 88,409.49

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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.