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Finding the Fourth Proportional to 133,720.38, 184,561.56 and 77,124.06

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Solution

The fourth proportional to 133,720.38, 184,561.56 and 77,124.06 is: 106,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,720.38 : 184,561.56 = 77,124.06 : x
  2. Step 2: Convert to fraction form
    133,720.38/184,561.56 = 77,124.06/x
  3. Step 3: Cross multiply
    133,720.38x = 184,561.56 × 77,124.06
  4. Step 4: Simplify right side
    133,720.38x = 14,234,136,827.13
  5. Step 5: Solve for x
    x = 14,234,136,827.13/133,720.38
  6. Step 6: Final answer
    x = 106,447.03

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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.