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Finding the Fourth Proportional to 201,685.52, 302,664.36 and 151,802.48

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Solution

The fourth proportional to 201,685.52, 302,664.36 and 151,802.48 is: 227,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,685.52 : 302,664.36 = 151,802.48 : x
  2. Step 2: Convert to fraction form
    201,685.52/302,664.36 = 151,802.48/x
  3. Step 3: Cross multiply
    201,685.52x = 302,664.36 × 151,802.48
  4. Step 4: Simplify right side
    201,685.52x = 45,945,200,455.61
  5. Step 5: Solve for x
    x = 45,945,200,455.61/201,685.52
  6. Step 6: Final answer
    x = 227,806.14

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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.