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Finding the Fourth Proportional to 189,959.18, 260,770.95 and 163,054.98

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Solution

The fourth proportional to 189,959.18, 260,770.95 and 163,054.98 is: 223,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,959.18 : 260,770.95 = 163,054.98 : x
  2. Step 2: Convert to fraction form
    189,959.18/260,770.95 = 163,054.98/x
  3. Step 3: Cross multiply
    189,959.18x = 260,770.95 × 163,054.98
  4. Step 4: Simplify right side
    189,959.18x = 42,520,002,036.83
  5. Step 5: Solve for x
    x = 42,520,002,036.83/189,959.18
  6. Step 6: Final answer
    x = 223,837.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.