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Finding the Fourth Proportional to 308,509.60, 462,838.32 and 106,102.24

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Solution

The fourth proportional to 308,509.60, 462,838.32 and 106,102.24 is: 159,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,509.60 : 462,838.32 = 106,102.24 : x
  2. Step 2: Convert to fraction form
    308,509.60/462,838.32 = 106,102.24/x
  3. Step 3: Cross multiply
    308,509.60x = 462,838.32 × 106,102.24
  4. Step 4: Simplify right side
    308,509.60x = 49,108,182,509.84
  5. Step 5: Solve for x
    x = 49,108,182,509.84/308,509.60
  6. Step 6: Final answer
    x = 159,178.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.