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Finding the Fourth Proportional to 107,496.63, 148,321.26 and 65,054.25

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Solution

The fourth proportional to 107,496.63, 148,321.26 and 65,054.25 is: 89,760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,496.63 : 148,321.26 = 65,054.25 : x
  2. Step 2: Convert to fraction form
    107,496.63/148,321.26 = 65,054.25/x
  3. Step 3: Cross multiply
    107,496.63x = 148,321.26 × 65,054.25
  4. Step 4: Simplify right side
    107,496.63x = 9,648,928,328.36
  5. Step 5: Solve for x
    x = 9,648,928,328.36/107,496.63
  6. Step 6: Final answer
    x = 89,760.29

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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.