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Finding the Fourth Proportional to 123,099, 184,666.32 and 38,830.56

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Solution

The fourth proportional to 123,099, 184,666.32 and 38,830.56 is: 58,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,099 : 184,666.32 = 38,830.56 : x
  2. Step 2: Convert to fraction form
    123,099/184,666.32 = 38,830.56/x
  3. Step 3: Cross multiply
    123,099x = 184,666.32 × 38,830.56
  4. Step 4: Simplify right side
    123,099x = 7,170,696,618.74
  5. Step 5: Solve for x
    x = 7,170,696,618.74/123,099
  6. Step 6: Final answer
    x = 58,251.46

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1.5x scale

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.