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Finding the Fourth Proportional to 116,846.15, 175,199.02 and 45,684

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Solution

The fourth proportional to 116,846.15, 175,199.02 and 45,684 is: 68,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,846.15 : 175,199.02 = 45,684 : x
  2. Step 2: Convert to fraction form
    116,846.15/175,199.02 = 45,684/x
  3. Step 3: Cross multiply
    116,846.15x = 175,199.02 × 45,684
  4. Step 4: Simplify right side
    116,846.15x = 8,003,791,915.47
  5. Step 5: Solve for x
    x = 8,003,791,915.47/116,846.15
  6. Step 6: Final answer
    x = 68,498.55

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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.