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Finding the Fourth Proportional to 211,372.66, 317,070.14 and 53,602.48

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Solution

The fourth proportional to 211,372.66, 317,070.14 and 53,602.48 is: 80,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,372.66 : 317,070.14 = 53,602.48 : x
  2. Step 2: Convert to fraction form
    211,372.66/317,070.14 = 53,602.48/x
  3. Step 3: Cross multiply
    211,372.66x = 317,070.14 × 53,602.48
  4. Step 4: Simplify right side
    211,372.66x = 16,995,745,837.95
  5. Step 5: Solve for x
    x = 16,995,745,837.95/211,372.66
  6. Step 6: Final answer
    x = 80,406.55

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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.