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Finding the Fourth Proportional to 123,052, 184,595.82 and 38,783.68

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Solution

The fourth proportional to 123,052, 184,595.82 and 38,783.68 is: 58,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,052 : 184,595.82 = 38,783.68 : x
  2. Step 2: Convert to fraction form
    123,052/184,595.82 = 38,783.68/x
  3. Step 3: Cross multiply
    123,052x = 184,595.82 × 38,783.68
  4. Step 4: Simplify right side
    123,052x = 7,159,305,212.22
  5. Step 5: Solve for x
    x = 7,159,305,212.22/123,052
  6. Step 6: Final answer
    x = 58,181.14

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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.