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Finding the Fourth Proportional to 211,751.34, 317,298.96 and 167,267.76

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Solution

The fourth proportional to 211,751.34, 317,298.96 and 167,267.76 is: 250,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,751.34 : 317,298.96 = 167,267.76 : x
  2. Step 2: Convert to fraction form
    211,751.34/317,298.96 = 167,267.76/x
  3. Step 3: Cross multiply
    211,751.34x = 317,298.96 × 167,267.76
  4. Step 4: Simplify right side
    211,751.34x = 53,073,886,289.53
  5. Step 5: Solve for x
    x = 53,073,886,289.53/211,751.34
  6. Step 6: Final answer
    x = 250,642.50

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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.