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Finding the Fourth Proportional to 173,694, 260,393.16 and 165,427.08

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Solution

The fourth proportional to 173,694, 260,393.16 and 165,427.08 is: 247,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,694 : 260,393.16 = 165,427.08 : x
  2. Step 2: Convert to fraction form
    173,694/260,393.16 = 165,427.08/x
  3. Step 3: Cross multiply
    173,694x = 260,393.16 × 165,427.08
  4. Step 4: Simplify right side
    173,694x = 43,076,080,110.77
  5. Step 5: Solve for x
    x = 43,076,080,110.77/173,694
  6. Step 6: Final answer
    x = 247,999.82

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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.