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Finding the Fourth Proportional to 107,393.68, 148,209.96 and 64,954

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Solution

The fourth proportional to 107,393.68, 148,209.96 and 64,954 is: 89,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,393.68 : 148,209.96 = 64,954 : x
  2. Step 2: Convert to fraction form
    107,393.68/148,209.96 = 64,954/x
  3. Step 3: Cross multiply
    107,393.68x = 148,209.96 × 64,954
  4. Step 4: Simplify right side
    107,393.68x = 9,626,829,741.84
  5. Step 5: Solve for x
    x = 9,626,829,741.84/107,393.68
  6. Step 6: Final answer
    x = 89,640.56

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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.