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Finding the Fourth Proportional to 133,347, 184,018.86 and 73,731

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Solution

The fourth proportional to 133,347, 184,018.86 and 73,731 is: 101,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,347 : 184,018.86 = 73,731 : x
  2. Step 2: Convert to fraction form
    133,347/184,018.86 = 73,731/x
  3. Step 3: Cross multiply
    133,347x = 184,018.86 × 73,731
  4. Step 4: Simplify right side
    133,347x = 13,567,894,566.66
  5. Step 5: Solve for x
    x = 13,567,894,566.66/133,347
  6. Step 6: Final answer
    x = 101,748.78

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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.