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Finding the Fourth Proportional to 189,467.28, 261,559.32 and 117,870.32

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Solution

The fourth proportional to 189,467.28, 261,559.32 and 117,870.32 is: 162,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,467.28 : 261,559.32 = 117,870.32 : x
  2. Step 2: Convert to fraction form
    189,467.28/261,559.32 = 117,870.32/x
  3. Step 3: Cross multiply
    189,467.28x = 261,559.32 × 117,870.32
  4. Step 4: Simplify right side
    189,467.28x = 30,830,080,747.38
  5. Step 5: Solve for x
    x = 30,830,080,747.38/189,467.28
  6. Step 6: Final answer
    x = 162,719.81

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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.