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Finding the Fourth Proportional to 308,587.93, 462,762.25 and 106,145.54

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Solution

The fourth proportional to 308,587.93, 462,762.25 and 106,145.54 is: 159,177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,587.93 : 462,762.25 = 106,145.54 : x
  2. Step 2: Convert to fraction form
    308,587.93/462,762.25 = 106,145.54/x
  3. Step 3: Cross multiply
    308,587.93x = 462,762.25 × 106,145.54
  4. Step 4: Simplify right side
    308,587.93x = 49,120,148,074.05
  5. Step 5: Solve for x
    x = 49,120,148,074.05/308,587.93
  6. Step 6: Final answer
    x = 159,177.15

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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.