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Finding the Fourth Proportional to 123,130.56, 184,701.36 and 37,735.14

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Solution

The fourth proportional to 123,130.56, 184,701.36 and 37,735.14 is: 56,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,130.56 : 184,701.36 = 37,735.14 : x
  2. Step 2: Convert to fraction form
    123,130.56/184,701.36 = 37,735.14/x
  3. Step 3: Cross multiply
    123,130.56x = 184,701.36 × 37,735.14
  4. Step 4: Simplify right side
    123,130.56x = 6,969,731,677.79
  5. Step 5: Solve for x
    x = 6,969,731,677.79/123,130.56
  6. Step 6: Final answer
    x = 56,604.40

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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.