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Finding the Fourth Proportional to 107,057.60, 160,419.60 and 40,461.40

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Solution

The fourth proportional to 107,057.60, 160,419.60 and 40,461.40 is: 60,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,057.60 : 160,419.60 = 40,461.40 : x
  2. Step 2: Convert to fraction form
    107,057.60/160,419.60 = 40,461.40/x
  3. Step 3: Cross multiply
    107,057.60x = 160,419.60 × 40,461.40
  4. Step 4: Simplify right side
    107,057.60x = 6,490,801,603.44
  5. Step 5: Solve for x
    x = 6,490,801,603.44/107,057.60
  6. Step 6: Final answer
    x = 60,629.06

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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.