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Finding the Fourth Proportional to 228,534.01, 342,112.10 and 123,033.13

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Solution

The fourth proportional to 228,534.01, 342,112.10 and 123,033.13 is: 184,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,534.01 : 342,112.10 = 123,033.13 : x
  2. Step 2: Convert to fraction form
    228,534.01/342,112.10 = 123,033.13/x
  3. Step 3: Cross multiply
    228,534.01x = 342,112.10 × 123,033.13
  4. Step 4: Simplify right side
    228,534.01x = 42,091,122,473.87
  5. Step 5: Solve for x
    x = 42,091,122,473.87/228,534.01
  6. Step 6: Final answer
    x = 184,178.81

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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.