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Finding the Fourth Proportional to 316,148.52, 473,918.16 and 182,906.76

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Solution

The fourth proportional to 316,148.52, 473,918.16 and 182,906.76 is: 274,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,148.52 : 473,918.16 = 182,906.76 : x
  2. Step 2: Convert to fraction form
    316,148.52/473,918.16 = 182,906.76/x
  3. Step 3: Cross multiply
    316,148.52x = 473,918.16 × 182,906.76
  4. Step 4: Simplify right side
    316,148.52x = 86,682,835,150.76
  5. Step 5: Solve for x
    x = 86,682,835,150.76/316,148.52
  6. Step 6: Final answer
    x = 274,183.90

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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.