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Finding the Fourth Proportional to 195,308.40, 292,271.40 and 133,100.40

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Solution

The fourth proportional to 195,308.40, 292,271.40 and 133,100.40 is: 199,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,308.40 : 292,271.40 = 133,100.40 : x
  2. Step 2: Convert to fraction form
    195,308.40/292,271.40 = 133,100.40/x
  3. Step 3: Cross multiply
    195,308.40x = 292,271.40 × 133,100.40
  4. Step 4: Simplify right side
    195,308.40x = 38,901,440,248.56
  5. Step 5: Solve for x
    x = 38,901,440,248.56/195,308.40
  6. Step 6: Final answer
    x = 199,179.56

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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.