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Finding the Fourth Proportional to 107,062.58, 147,742.44 and 61,742.47

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Solution

The fourth proportional to 107,062.58, 147,742.44 and 61,742.47 is: 85,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,062.58 : 147,742.44 = 61,742.47 : x
  2. Step 2: Convert to fraction form
    107,062.58/147,742.44 = 61,742.47/x
  3. Step 3: Cross multiply
    107,062.58x = 147,742.44 × 61,742.47
  4. Step 4: Simplify right side
    107,062.58x = 9,121,983,169.43
  5. Step 5: Solve for x
    x = 9,121,983,169.43/107,062.58
  6. Step 6: Final answer
    x = 85,202.35

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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.