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Finding the Fourth Proportional to 364,125.96, 546,254.57 and 111,401.71

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Solution

The fourth proportional to 364,125.96, 546,254.57 and 111,401.71 is: 167,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,125.96 : 546,254.57 = 111,401.71 : x
  2. Step 2: Convert to fraction form
    364,125.96/546,254.57 = 111,401.71/x
  3. Step 3: Cross multiply
    364,125.96x = 546,254.57 × 111,401.71
  4. Step 4: Simplify right side
    364,125.96x = 60,853,691,270.67
  5. Step 5: Solve for x
    x = 60,853,691,270.67/364,125.96
  6. Step 6: Final answer
    x = 167,122.64

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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.