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Finding the Fourth Proportional to 364,148.52, 546,222.78 and 114,849.96

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Solution

The fourth proportional to 364,148.52, 546,222.78 and 114,849.96 is: 172,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,148.52 : 546,222.78 = 114,849.96 : x
  2. Step 2: Convert to fraction form
    364,148.52/546,222.78 = 114,849.96/x
  3. Step 3: Cross multiply
    364,148.52x = 546,222.78 × 114,849.96
  4. Step 4: Simplify right side
    364,148.52x = 62,733,664,434.09
  5. Step 5: Solve for x
    x = 62,733,664,434.09/364,148.52
  6. Step 6: Final answer
    x = 172,274.94

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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.