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Finding the Fourth Proportional to 210,115.24, 289,972.74 and 119,479.64

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Solution

The fourth proportional to 210,115.24, 289,972.74 and 119,479.64 is: 164,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,115.24 : 289,972.74 = 119,479.64 : x
  2. Step 2: Convert to fraction form
    210,115.24/289,972.74 = 119,479.64/x
  3. Step 3: Cross multiply
    210,115.24x = 289,972.74 × 119,479.64
  4. Step 4: Simplify right side
    210,115.24x = 34,645,838,585.01
  5. Step 5: Solve for x
    x = 34,645,838,585.01/210,115.24
  6. Step 6: Final answer
    x = 164,889.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.