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Finding the Fourth Proportional to 211,324.34, 316,952.80 and 78,174.32

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Solution

The fourth proportional to 211,324.34, 316,952.80 and 78,174.32 is: 117,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,324.34 : 316,952.80 = 78,174.32 : x
  2. Step 2: Convert to fraction form
    211,324.34/316,952.80 = 78,174.32/x
  3. Step 3: Cross multiply
    211,324.34x = 316,952.80 × 78,174.32
  4. Step 4: Simplify right side
    211,324.34x = 24,777,567,831.90
  5. Step 5: Solve for x
    x = 24,777,567,831.90/211,324.34
  6. Step 6: Final answer
    x = 117,249.00

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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.