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Finding the Fourth Proportional to 107,109.94, 147,815.64 and 64,660.26

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Solution

The fourth proportional to 107,109.94, 147,815.64 and 64,660.26 is: 89,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,109.94 : 147,815.64 = 64,660.26 : x
  2. Step 2: Convert to fraction form
    107,109.94/147,815.64 = 64,660.26/x
  3. Step 3: Cross multiply
    107,109.94x = 147,815.64 × 64,660.26
  4. Step 4: Simplify right side
    107,109.94x = 9,557,797,714.47
  5. Step 5: Solve for x
    x = 9,557,797,714.47/107,109.94
  6. Step 6: Final answer
    x = 89,233.53

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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.