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Finding the Fourth Proportional to 316,107.16, 474,160.74 and 116,353.87

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Solution

The fourth proportional to 316,107.16, 474,160.74 and 116,353.87 is: 174,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,107.16 : 474,160.74 = 116,353.87 : x
  2. Step 2: Convert to fraction form
    316,107.16/474,160.74 = 116,353.87/x
  3. Step 3: Cross multiply
    316,107.16x = 474,160.74 × 116,353.87
  4. Step 4: Simplify right side
    316,107.16x = 55,170,435,479.33
  5. Step 5: Solve for x
    x = 55,170,435,479.33/316,107.16
  6. Step 6: Final answer
    x = 174,530.80

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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.