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Finding the Fourth Proportional to 227,483.22, 341,264.94 and 77,688.41

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Solution

The fourth proportional to 227,483.22, 341,264.94 and 77,688.41 is: 116,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,483.22 : 341,264.94 = 77,688.41 : x
  2. Step 2: Convert to fraction form
    227,483.22/341,264.94 = 77,688.41/x
  3. Step 3: Cross multiply
    227,483.22x = 341,264.94 × 77,688.41
  4. Step 4: Simplify right side
    227,483.22x = 26,512,328,871.02
  5. Step 5: Solve for x
    x = 26,512,328,871.02/227,483.22
  6. Step 6: Final answer
    x = 116,546.31

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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.