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Finding the Fourth Proportional to 211,952.66, 317,978.24 and 62,186.90

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Solution

The fourth proportional to 211,952.66, 317,978.24 and 62,186.90 is: 93,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,952.66 : 317,978.24 = 62,186.90 : x
  2. Step 2: Convert to fraction form
    211,952.66/317,978.24 = 62,186.90/x
  3. Step 3: Cross multiply
    211,952.66x = 317,978.24 × 62,186.90
  4. Step 4: Simplify right side
    211,952.66x = 19,774,081,013.06
  5. Step 5: Solve for x
    x = 19,774,081,013.06/211,952.66
  6. Step 6: Final answer
    x = 93,294.80

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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.