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Finding the Fourth Proportional to 227,489.23, 341,274.35 and 77,746.15

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Solution

The fourth proportional to 227,489.23, 341,274.35 and 77,746.15 is: 116,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,489.23 : 341,274.35 = 77,746.15 : x
  2. Step 2: Convert to fraction form
    227,489.23/341,274.35 = 77,746.15/x
  3. Step 3: Cross multiply
    227,489.23x = 341,274.35 × 77,746.15
  4. Step 4: Simplify right side
    227,489.23x = 26,532,766,806.25
  5. Step 5: Solve for x
    x = 26,532,766,806.25/227,489.23
  6. Step 6: Final answer
    x = 116,633.07

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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.