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Finding the Fourth Proportional to 120,148.64, 165,798 and 66,429.44

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Solution

The fourth proportional to 120,148.64, 165,798 and 66,429.44 is: 91,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,148.64 : 165,798 = 66,429.44 : x
  2. Step 2: Convert to fraction form
    120,148.64/165,798 = 66,429.44/x
  3. Step 3: Cross multiply
    120,148.64x = 165,798 × 66,429.44
  4. Step 4: Simplify right side
    120,148.64x = 11,013,868,293.12
  5. Step 5: Solve for x
    x = 11,013,868,293.12/120,148.64
  6. Step 6: Final answer
    x = 91,668.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.