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Finding the Fourth Proportional to 104,731.70, 157,097.55 and 76,847.45

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Solution

The fourth proportional to 104,731.70, 157,097.55 and 76,847.45 is: 115,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,731.70 : 157,097.55 = 76,847.45 : x
  2. Step 2: Convert to fraction form
    104,731.70/157,097.55 = 76,847.45/x
  3. Step 3: Cross multiply
    104,731.70x = 157,097.55 × 76,847.45
  4. Step 4: Simplify right side
    104,731.70x = 12,072,546,118.75
  5. Step 5: Solve for x
    x = 12,072,546,118.75/104,731.70
  6. Step 6: Final answer
    x = 115,271.18

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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.