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Finding the Fourth Proportional to 195,148.40, 292,031.40 and 132,940.40

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Solution

The fourth proportional to 195,148.40, 292,031.40 and 132,940.40 is: 198,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,148.40 : 292,031.40 = 132,940.40 : x
  2. Step 2: Convert to fraction form
    195,148.40/292,031.40 = 132,940.40/x
  3. Step 3: Cross multiply
    195,148.40x = 292,031.40 × 132,940.40
  4. Step 4: Simplify right side
    195,148.40x = 38,822,771,128.56
  5. Step 5: Solve for x
    x = 38,822,771,128.56/195,148.40
  6. Step 6: Final answer
    x = 198,939.74

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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.