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Finding the Fourth Proportional to 173,164.98, 238,826.43 and 145,464.06

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Solution

The fourth proportional to 173,164.98, 238,826.43 and 145,464.06 is: 200,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,164.98 : 238,826.43 = 145,464.06 : x
  2. Step 2: Convert to fraction form
    173,164.98/238,826.43 = 145,464.06/x
  3. Step 3: Cross multiply
    173,164.98x = 238,826.43 × 145,464.06
  4. Step 4: Simplify right side
    173,164.98x = 34,740,662,143.11
  5. Step 5: Solve for x
    x = 34,740,662,143.11/173,164.98
  6. Step 6: Final answer
    x = 200,621.75

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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.