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Finding the Fourth Proportional to 272,592.74, 409,064.07 and 132,274.82

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Solution

The fourth proportional to 272,592.74, 409,064.07 and 132,274.82 is: 198,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,592.74 : 409,064.07 = 132,274.82 : x
  2. Step 2: Convert to fraction form
    272,592.74/409,064.07 = 132,274.82/x
  3. Step 3: Cross multiply
    272,592.74x = 409,064.07 × 132,274.82
  4. Step 4: Simplify right side
    272,592.74x = 54,108,877,746.41
  5. Step 5: Solve for x
    x = 54,108,877,746.41/272,592.74
  6. Step 6: Final answer
    x = 198,497.13

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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.