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Finding the Fourth Proportional to 184,033.61, 253,964.87 and 103,461.48

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Solution

The fourth proportional to 184,033.61, 253,964.87 and 103,461.48 is: 142,775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,033.61 : 253,964.87 = 103,461.48 : x
  2. Step 2: Convert to fraction form
    184,033.61/253,964.87 = 103,461.48/x
  3. Step 3: Cross multiply
    184,033.61x = 253,964.87 × 103,461.48
  4. Step 4: Simplify right side
    184,033.61x = 26,275,580,800.90
  5. Step 5: Solve for x
    x = 26,275,580,800.90/184,033.61
  6. Step 6: Final answer
    x = 142,775.99

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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.