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Finding the Fourth Proportional to 107,308.29, 160,965.51 and 28,422.51

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Solution

The fourth proportional to 107,308.29, 160,965.51 and 28,422.51 is: 42,634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,308.29 : 160,965.51 = 28,422.51 : x
  2. Step 2: Convert to fraction form
    107,308.29/160,965.51 = 28,422.51/x
  3. Step 3: Cross multiply
    107,308.29x = 160,965.51 × 28,422.51
  4. Step 4: Simplify right side
    107,308.29x = 4,575,043,817.63
  5. Step 5: Solve for x
    x = 4,575,043,817.63/107,308.29
  6. Step 6: Final answer
    x = 42,634.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.