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Finding the Fourth Proportional to 357,910.84, 536,751.42 and 158,226.76

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Solution

The fourth proportional to 357,910.84, 536,751.42 and 158,226.76 is: 237,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,910.84 : 536,751.42 = 158,226.76 : x
  2. Step 2: Convert to fraction form
    357,910.84/536,751.42 = 158,226.76/x
  3. Step 3: Cross multiply
    357,910.84x = 536,751.42 × 158,226.76
  4. Step 4: Simplify right side
    357,910.84x = 84,928,438,112.00
  5. Step 5: Solve for x
    x = 84,928,438,112.00/357,910.84
  6. Step 6: Final answer
    x = 237,289.37

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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.