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Finding the Fourth Proportional to 210,676.64, 316,046.47 and 77,546.76

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Solution

The fourth proportional to 210,676.64, 316,046.47 and 77,546.76 is: 116,331.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,676.64 : 316,046.47 = 77,546.76 : x
  2. Step 2: Convert to fraction form
    210,676.64/316,046.47 = 77,546.76/x
  3. Step 3: Cross multiply
    210,676.64x = 316,046.47 × 77,546.76
  4. Step 4: Simplify right side
    210,676.64x = 24,508,379,564.07
  5. Step 5: Solve for x
    x = 24,508,379,564.07/210,676.64
  6. Step 6: Final answer
    x = 116,331.74

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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.