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Finding the Fourth Proportional to 364,125.21, 546,253.44 and 111,400.95

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Solution

The fourth proportional to 364,125.21, 546,253.44 and 111,400.95 is: 167,121.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,125.21 : 546,253.44 = 111,400.95 : x
  2. Step 2: Convert to fraction form
    364,125.21/546,253.44 = 111,400.95/x
  3. Step 3: Cross multiply
    364,125.21x = 546,253.44 × 111,400.95
  4. Step 4: Simplify right side
    364,125.21x = 60,853,153,787.46
  5. Step 5: Solve for x
    x = 60,853,153,787.46/364,125.21
  6. Step 6: Final answer
    x = 167,121.51

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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.