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Finding the Fourth Proportional to 211,773.54, 317,567.04 and 99,485.67

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Solution

The fourth proportional to 211,773.54, 317,567.04 and 99,485.67 is: 149,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,773.54 : 317,567.04 = 99,485.67 : x
  2. Step 2: Convert to fraction form
    211,773.54/317,567.04 = 99,485.67/x
  3. Step 3: Cross multiply
    211,773.54x = 317,567.04 × 99,485.67
  4. Step 4: Simplify right side
    211,773.54x = 31,593,369,744.32
  5. Step 5: Solve for x
    x = 31,593,369,744.32/211,773.54
  6. Step 6: Final answer
    x = 149,184.69

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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.