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Finding the Fourth Proportional to 211,870.80, 317,652.24 and 99,493.20

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Solution

The fourth proportional to 211,870.80, 317,652.24 and 99,493.20 is: 149,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,870.80 : 317,652.24 = 99,493.20 : x
  2. Step 2: Convert to fraction form
    211,870.80/317,652.24 = 99,493.20/x
  3. Step 3: Cross multiply
    211,870.80x = 317,652.24 × 99,493.20
  4. Step 4: Simplify right side
    211,870.80x = 31,604,237,844.77
  5. Step 5: Solve for x
    x = 31,604,237,844.77/211,870.80
  6. Step 6: Final answer
    x = 149,167.50

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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.