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Finding the Fourth Proportional to 107,655.74, 148,410.93 and 75,725.54

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Solution

The fourth proportional to 107,655.74, 148,410.93 and 75,725.54 is: 104,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,655.74 : 148,410.93 = 75,725.54 : x
  2. Step 2: Convert to fraction form
    107,655.74/148,410.93 = 75,725.54/x
  3. Step 3: Cross multiply
    107,655.74x = 148,410.93 × 75,725.54
  4. Step 4: Simplify right side
    107,655.74x = 11,238,497,074.10
  5. Step 5: Solve for x
    x = 11,238,497,074.10/107,655.74
  6. Step 6: Final answer
    x = 104,392.93

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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.