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Finding the Fourth Proportional to 211,471.44, 317,106.72 and 122,752.14

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Solution

The fourth proportional to 211,471.44, 317,106.72 and 122,752.14 is: 184,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,471.44 : 317,106.72 = 122,752.14 : x
  2. Step 2: Convert to fraction form
    211,471.44/317,106.72 = 122,752.14/x
  3. Step 3: Cross multiply
    211,471.44x = 317,106.72 × 122,752.14
  4. Step 4: Simplify right side
    211,471.44x = 38,925,528,488.38
  5. Step 5: Solve for x
    x = 38,925,528,488.38/211,471.44
  6. Step 6: Final answer
    x = 184,069.91

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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.