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Finding the Fourth Proportional to 178,447.43, 246,264.54 and 97,877.90

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Solution

The fourth proportional to 178,447.43, 246,264.54 and 97,877.90 is: 135,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,447.43 : 246,264.54 = 97,877.90 : x
  2. Step 2: Convert to fraction form
    178,447.43/246,264.54 = 97,877.90/x
  3. Step 3: Cross multiply
    178,447.43x = 246,264.54 × 97,877.90
  4. Step 4: Simplify right side
    178,447.43x = 24,103,856,019.67
  5. Step 5: Solve for x
    x = 24,103,856,019.67/178,447.43
  6. Step 6: Final answer
    x = 135,075.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.