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Finding the Fourth Proportional to 364,162.98, 546,310.23 and 111,438.93

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Solution

The fourth proportional to 364,162.98, 546,310.23 and 111,438.93 is: 167,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,162.98 : 546,310.23 = 111,438.93 : x
  2. Step 2: Convert to fraction form
    364,162.98/546,310.23 = 111,438.93/x
  3. Step 3: Cross multiply
    364,162.98x = 546,310.23 × 111,438.93
  4. Step 4: Simplify right side
    364,162.98x = 60,880,227,479.25
  5. Step 5: Solve for x
    x = 60,880,227,479.25/364,162.98
  6. Step 6: Final answer
    x = 167,178.52

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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.