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Finding the Fourth Proportional to 278,346.52, 384,120.66 and 151,024.64

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Solution

The fourth proportional to 278,346.52, 384,120.66 and 151,024.64 is: 208,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,346.52 : 384,120.66 = 151,024.64 : x
  2. Step 2: Convert to fraction form
    278,346.52/384,120.66 = 151,024.64/x
  3. Step 3: Cross multiply
    278,346.52x = 384,120.66 × 151,024.64
  4. Step 4: Simplify right side
    278,346.52x = 58,011,684,393.06
  5. Step 5: Solve for x
    x = 58,011,684,393.06/278,346.52
  6. Step 6: Final answer
    x = 208,415.34

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