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Finding the Fourth Proportional to 133,654, 184,442.52 and 74,038

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Solution

The fourth proportional to 133,654, 184,442.52 and 74,038 is: 102,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,654 : 184,442.52 = 74,038 : x
  2. Step 2: Convert to fraction form
    133,654/184,442.52 = 74,038/x
  3. Step 3: Cross multiply
    133,654x = 184,442.52 × 74,038
  4. Step 4: Simplify right side
    133,654x = 13,655,755,295.76
  5. Step 5: Solve for x
    x = 13,655,755,295.76/133,654
  6. Step 6: Final answer
    x = 102,172.44

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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.