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Finding the Fourth Proportional to 178,562.96, 246,420.60 and 97,985.78

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Solution

The fourth proportional to 178,562.96, 246,420.60 and 97,985.78 is: 135,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,562.96 : 246,420.60 = 97,985.78 : x
  2. Step 2: Convert to fraction form
    178,562.96/246,420.60 = 97,985.78/x
  3. Step 3: Cross multiply
    178,562.96x = 246,420.60 × 97,985.78
  4. Step 4: Simplify right side
    178,562.96x = 24,145,714,699.07
  5. Step 5: Solve for x
    x = 24,145,714,699.07/178,562.96
  6. Step 6: Final answer
    x = 135,222.42

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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.