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Finding the Fourth Proportional to 123,206.48, 184,811.18 and 48,361.87

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Solution

The fourth proportional to 123,206.48, 184,811.18 and 48,361.87 is: 72,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,206.48 : 184,811.18 = 48,361.87 : x
  2. Step 2: Convert to fraction form
    123,206.48/184,811.18 = 48,361.87/x
  3. Step 3: Cross multiply
    123,206.48x = 184,811.18 × 48,361.87
  4. Step 4: Simplify right side
    123,206.48x = 8,937,814,261.71
  5. Step 5: Solve for x
    x = 8,937,814,261.71/123,206.48
  6. Step 6: Final answer
    x = 72,543.38

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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.