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Finding the Fourth Proportional to 122,678.40, 184,047.01 and 59,424.59

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Solution

The fourth proportional to 122,678.40, 184,047.01 and 59,424.59 is: 89,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,678.40 : 184,047.01 = 59,424.59 : x
  2. Step 2: Convert to fraction form
    122,678.40/184,047.01 = 59,424.59/x
  3. Step 3: Cross multiply
    122,678.40x = 184,047.01 × 59,424.59
  4. Step 4: Simplify right side
    122,678.40x = 10,936,918,499.42
  5. Step 5: Solve for x
    x = 10,936,918,499.42/122,678.40
  6. Step 6: Final answer
    x = 89,151.14

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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.