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Finding the Fourth Proportional to 107,066.40, 160,405.20 and 65,464.80

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Solution

The fourth proportional to 107,066.40, 160,405.20 and 65,464.80 is: 98,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,066.40 : 160,405.20 = 65,464.80 : x
  2. Step 2: Convert to fraction form
    107,066.40/160,405.20 = 65,464.80/x
  3. Step 3: Cross multiply
    107,066.40x = 160,405.20 × 65,464.80
  4. Step 4: Simplify right side
    107,066.40x = 10,500,894,336.96
  5. Step 5: Solve for x
    x = 10,500,894,336.96/107,066.40
  6. Step 6: Final answer
    x = 98,078.34

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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.