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Finding the Fourth Proportional to 107,089.68, 160,880.80 and 75,572.32

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Solution

The fourth proportional to 107,089.68, 160,880.80 and 75,572.32 is: 113,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,089.68 : 160,880.80 = 75,572.32 : x
  2. Step 2: Convert to fraction form
    107,089.68/160,880.80 = 75,572.32/x
  3. Step 3: Cross multiply
    107,089.68x = 160,880.80 × 75,572.32
  4. Step 4: Simplify right side
    107,089.68x = 12,158,135,299.46
  5. Step 5: Solve for x
    x = 12,158,135,299.46/107,089.68
  6. Step 6: Final answer
    x = 113,532.28

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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.