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Finding the Fourth Proportional to 278,094.48, 417,202.50 and 100,582.98

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Solution

The fourth proportional to 278,094.48, 417,202.50 and 100,582.98 is: 150,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,094.48 : 417,202.50 = 100,582.98 : x
  2. Step 2: Convert to fraction form
    278,094.48/417,202.50 = 100,582.98/x
  3. Step 3: Cross multiply
    278,094.48x = 417,202.50 × 100,582.98
  4. Step 4: Simplify right side
    278,094.48x = 41,963,470,713.45
  5. Step 5: Solve for x
    x = 41,963,470,713.45/278,094.48
  6. Step 6: Final answer
    x = 150,896.45

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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.