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Finding the Fourth Proportional to 211,415.30, 317,900.55 and 177,200.90

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Solution

The fourth proportional to 211,415.30, 317,900.55 and 177,200.90 is: 266,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,415.30 : 317,900.55 = 177,200.90 : x
  2. Step 2: Convert to fraction form
    211,415.30/317,900.55 = 177,200.90/x
  3. Step 3: Cross multiply
    211,415.30x = 317,900.55 × 177,200.90
  4. Step 4: Simplify right side
    211,415.30x = 56,332,263,570.50
  5. Step 5: Solve for x
    x = 56,332,263,570.50/211,415.30
  6. Step 6: Final answer
    x = 266,453.11

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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.