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Finding the Fourth Proportional to 342,909.64, 514,176.54 and 106,186.60

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Solution

The fourth proportional to 342,909.64, 514,176.54 and 106,186.60 is: 159,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,909.64 : 514,176.54 = 106,186.60 : x
  2. Step 2: Convert to fraction form
    342,909.64/514,176.54 = 106,186.60/x
  3. Step 3: Cross multiply
    342,909.64x = 514,176.54 × 106,186.60
  4. Step 4: Simplify right side
    342,909.64x = 54,598,658,582.36
  5. Step 5: Solve for x
    x = 54,598,658,582.36/342,909.64
  6. Step 6: Final answer
    x = 159,221.71

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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.