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Finding the Fourth Proportional to 116,682, 175,021.84 and 53,484.18

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Solution

The fourth proportional to 116,682, 175,021.84 and 53,484.18 is: 80,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,682 : 175,021.84 = 53,484.18 : x
  2. Step 2: Convert to fraction form
    116,682/175,021.84 = 53,484.18/x
  3. Step 3: Cross multiply
    116,682x = 175,021.84 × 53,484.18
  4. Step 4: Simplify right side
    116,682x = 9,360,899,594.49
  5. Step 5: Solve for x
    x = 9,360,899,594.49/116,682
  6. Step 6: Final answer
    x = 80,225.74

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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.