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Finding the Fourth Proportional to 104,907.96, 157,204.80 and 45,711.54

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Solution

The fourth proportional to 104,907.96, 157,204.80 and 45,711.54 is: 68,498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,907.96 : 157,204.80 = 45,711.54 : x
  2. Step 2: Convert to fraction form
    104,907.96/157,204.80 = 45,711.54/x
  3. Step 3: Cross multiply
    104,907.96x = 157,204.80 × 45,711.54
  4. Step 4: Simplify right side
    104,907.96x = 7,186,073,503.39
  5. Step 5: Solve for x
    x = 7,186,073,503.39/104,907.96
  6. Step 6: Final answer
    x = 68,498.84

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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.