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Finding the Fourth Proportional to 211,499.81, 317,248.92 and 51,573.90

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Solution

The fourth proportional to 211,499.81, 317,248.92 and 51,573.90 is: 77,360.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,499.81 : 317,248.92 = 51,573.90 : x
  2. Step 2: Convert to fraction form
    211,499.81/317,248.92 = 51,573.90/x
  3. Step 3: Cross multiply
    211,499.81x = 317,248.92 × 51,573.90
  4. Step 4: Simplify right side
    211,499.81x = 16,361,764,075.19
  5. Step 5: Solve for x
    x = 16,361,764,075.19/211,499.81
  6. Step 6: Final answer
    x = 77,360.66

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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.