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Finding the Fourth Proportional to 184,033.10, 253,964.17 and 103,460.98

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Solution

The fourth proportional to 184,033.10, 253,964.17 and 103,460.98 is: 142,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,033.10 : 253,964.17 = 103,460.98 : x
  2. Step 2: Convert to fraction form
    184,033.10/253,964.17 = 103,460.98/x
  3. Step 3: Cross multiply
    184,033.10x = 253,964.17 × 103,460.98
  4. Step 4: Simplify right side
    184,033.10x = 26,275,381,913.09
  5. Step 5: Solve for x
    x = 26,275,381,913.09/184,033.10
  6. Step 6: Final answer
    x = 142,775.30

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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.