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Finding the Fourth Proportional to 308,117.92, 462,021.36 and 150,109.60

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Solution

The fourth proportional to 308,117.92, 462,021.36 and 150,109.60 is: 225,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,117.92 : 462,021.36 = 150,109.60 : x
  2. Step 2: Convert to fraction form
    308,117.92/462,021.36 = 150,109.60/x
  3. Step 3: Cross multiply
    308,117.92x = 462,021.36 × 150,109.60
  4. Step 4: Simplify right side
    308,117.92x = 69,353,841,541.06
  5. Step 5: Solve for x
    x = 69,353,841,541.06/308,117.92
  6. Step 6: Final answer
    x = 225,088.63

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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.