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Finding the Fourth Proportional to 364,235.95, 546,042.39 and 139,757.47

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Solution

The fourth proportional to 364,235.95, 546,042.39 and 139,757.47 is: 209,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,235.95 : 546,042.39 = 139,757.47 : x
  2. Step 2: Convert to fraction form
    364,235.95/546,042.39 = 139,757.47/x
  3. Step 3: Cross multiply
    364,235.95x = 546,042.39 × 139,757.47
  4. Step 4: Simplify right side
    364,235.95x = 76,313,502,939.15
  5. Step 5: Solve for x
    x = 76,313,502,939.15/364,235.95
  6. Step 6: Final answer
    x = 209,516.67

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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.