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Finding the Fourth Proportional to 107,214.80, 160,708.68 and 36,069.72

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Solution

The fourth proportional to 107,214.80, 160,708.68 and 36,069.72 is: 54,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,214.80 : 160,708.68 = 36,069.72 : x
  2. Step 2: Convert to fraction form
    107,214.80/160,708.68 = 36,069.72/x
  3. Step 3: Cross multiply
    107,214.80x = 160,708.68 × 36,069.72
  4. Step 4: Simplify right side
    107,214.80x = 5,796,717,089.17
  5. Step 5: Solve for x
    x = 5,796,717,089.17/107,214.80
  6. Step 6: Final answer
    x = 54,066.39

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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.