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Finding the Fourth Proportional to 316,516.78, 474,775.15 and 106,154.11

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Solution

The fourth proportional to 316,516.78, 474,775.15 and 106,154.11 is: 159,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,516.78 : 474,775.15 = 106,154.11 : x
  2. Step 2: Convert to fraction form
    316,516.78/474,775.15 = 106,154.11/x
  3. Step 3: Cross multiply
    316,516.78x = 474,775.15 × 106,154.11
  4. Step 4: Simplify right side
    316,516.78x = 50,399,333,498.37
  5. Step 5: Solve for x
    x = 50,399,333,498.37/316,516.78
  6. Step 6: Final answer
    x = 159,231.16

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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.