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Finding the Fourth Proportional to 257,936.34, 386,772.80 and 151,528.13

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Solution

The fourth proportional to 257,936.34, 386,772.80 and 151,528.13 is: 227,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,936.34 : 386,772.80 = 151,528.13 : x
  2. Step 2: Convert to fraction form
    257,936.34/386,772.80 = 151,528.13/x
  3. Step 3: Cross multiply
    257,936.34x = 386,772.80 × 151,528.13
  4. Step 4: Simplify right side
    257,936.34x = 58,606,956,427.36
  5. Step 5: Solve for x
    x = 58,606,956,427.36/257,936.34
  6. Step 6: Final answer
    x = 227,214.81

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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.