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Finding the Fourth Proportional to 107,405.30, 160,913.55 and 91,853.30

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Solution

The fourth proportional to 107,405.30, 160,913.55 and 91,853.30 is: 137,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,405.30 : 160,913.55 = 91,853.30 : x
  2. Step 2: Convert to fraction form
    107,405.30/160,913.55 = 91,853.30/x
  3. Step 3: Cross multiply
    107,405.30x = 160,913.55 × 91,853.30
  4. Step 4: Simplify right side
    107,405.30x = 14,780,440,582.22
  5. Step 5: Solve for x
    x = 14,780,440,582.22/107,405.30
  6. Step 6: Final answer
    x = 137,613.70

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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.