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Finding the Fourth Proportional to 316,177.68, 474,266.52 and 129,189

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Solution

The fourth proportional to 316,177.68, 474,266.52 and 129,189 is: 193,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,177.68 : 474,266.52 = 129,189 : x
  2. Step 2: Convert to fraction form
    316,177.68/474,266.52 = 129,189/x
  3. Step 3: Cross multiply
    316,177.68x = 474,266.52 × 129,189
  4. Step 4: Simplify right side
    316,177.68x = 61,270,017,452.28
  5. Step 5: Solve for x
    x = 61,270,017,452.28/316,177.68
  6. Step 6: Final answer
    x = 193,783.50

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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.