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Finding the Fourth Proportional to 201,686.52, 302,665.86 and 151,803.48

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Solution

The fourth proportional to 201,686.52, 302,665.86 and 151,803.48 is: 227,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,686.52 : 302,665.86 = 151,803.48 : x
  2. Step 2: Convert to fraction form
    201,686.52/302,665.86 = 151,803.48/x
  3. Step 3: Cross multiply
    201,686.52x = 302,665.86 × 151,803.48
  4. Step 4: Simplify right side
    201,686.52x = 45,945,730,825.19
  5. Step 5: Solve for x
    x = 45,945,730,825.19/201,686.52
  6. Step 6: Final answer
    x = 227,807.64

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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.