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Finding the Fourth Proportional to 211,854.99, 317,782.50 and 78,768.75

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Solution

The fourth proportional to 211,854.99, 317,782.50 and 78,768.75 is: 118,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,854.99 : 317,782.50 = 78,768.75 : x
  2. Step 2: Convert to fraction form
    211,854.99/317,782.50 = 78,768.75/x
  3. Step 3: Cross multiply
    211,854.99x = 317,782.50 × 78,768.75
  4. Step 4: Simplify right side
    211,854.99x = 25,031,330,296.88
  5. Step 5: Solve for x
    x = 25,031,330,296.88/211,854.99
  6. Step 6: Final answer
    x = 118,153.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.