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Finding the Fourth Proportional to 264,097.80, 395,470.35 and 145,637.73

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Solution

The fourth proportional to 264,097.80, 395,470.35 and 145,637.73 is: 218,083.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,097.80 : 395,470.35 = 145,637.73 : x
  2. Step 2: Convert to fraction form
    264,097.80/395,470.35 = 145,637.73/x
  3. Step 3: Cross multiply
    264,097.80x = 395,470.35 × 145,637.73
  4. Step 4: Simplify right side
    264,097.80x = 57,595,404,056.31
  5. Step 5: Solve for x
    x = 57,595,404,056.31/264,097.80
  6. Step 6: Final answer
    x = 218,083.62

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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.