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Finding the Fourth Proportional to 210,584.86, 316,002.33 and 77,558.42

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Solution

The fourth proportional to 210,584.86, 316,002.33 and 77,558.42 is: 116,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,584.86 : 316,002.33 = 77,558.42 : x
  2. Step 2: Convert to fraction form
    210,584.86/316,002.33 = 77,558.42/x
  3. Step 3: Cross multiply
    210,584.86x = 316,002.33 × 77,558.42
  4. Step 4: Simplify right side
    210,584.86x = 24,508,642,221.12
  5. Step 5: Solve for x
    x = 24,508,642,221.12/210,584.86
  6. Step 6: Final answer
    x = 116,383.69

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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.