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Finding the Fourth Proportional to 278,838.45, 384,796.26 and 151,514.01

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Solution

The fourth proportional to 278,838.45, 384,796.26 and 151,514.01 is: 209,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,838.45 : 384,796.26 = 151,514.01 : x
  2. Step 2: Convert to fraction form
    278,838.45/384,796.26 = 151,514.01/x
  3. Step 3: Cross multiply
    278,838.45x = 384,796.26 × 151,514.01
  4. Step 4: Simplify right side
    278,838.45x = 58,302,024,385.60
  5. Step 5: Solve for x
    x = 58,302,024,385.60/278,838.45
  6. Step 6: Final answer
    x = 209,088.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.