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Finding the Fourth Proportional to 316,540.56, 474,810.72 and 106,177.80

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Solution

The fourth proportional to 316,540.56, 474,810.72 and 106,177.80 is: 159,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,540.56 : 474,810.72 = 106,177.80 : x
  2. Step 2: Convert to fraction form
    316,540.56/474,810.72 = 106,177.80/x
  3. Step 3: Cross multiply
    316,540.56x = 474,810.72 × 106,177.80
  4. Step 4: Simplify right side
    316,540.56x = 50,414,357,666.02
  5. Step 5: Solve for x
    x = 50,414,357,666.02/316,540.56
  6. Step 6: Final answer
    x = 159,266.66

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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.