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Finding the Fourth Proportional to 272,389.92, 408,584.88 and 85,416

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Solution

The fourth proportional to 272,389.92, 408,584.88 and 85,416 is: 128,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,389.92 : 408,584.88 = 85,416 : x
  2. Step 2: Convert to fraction form
    272,389.92/408,584.88 = 85,416/x
  3. Step 3: Cross multiply
    272,389.92x = 408,584.88 × 85,416
  4. Step 4: Simplify right side
    272,389.92x = 34,899,686,110.08
  5. Step 5: Solve for x
    x = 34,899,686,110.08/272,389.92
  6. Step 6: Final answer
    x = 128,124.00

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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.