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Finding the Fourth Proportional to 316,134.86, 474,273.37 and 166,445.65

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Solution

The fourth proportional to 316,134.86, 474,273.37 and 166,445.65 is: 249,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,134.86 : 474,273.37 = 166,445.65 : x
  2. Step 2: Convert to fraction form
    316,134.86/474,273.37 = 166,445.65/x
  3. Step 3: Cross multiply
    316,134.86x = 474,273.37 × 166,445.65
  4. Step 4: Simplify right side
    316,134.86x = 78,940,736,975.97
  5. Step 5: Solve for x
    x = 78,940,736,975.97/316,134.86
  6. Step 6: Final answer
    x = 249,705.89

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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.