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Finding the Fourth Proportional to 256,534.24, 384,903.42 and 98,720.32

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Solution

The fourth proportional to 256,534.24, 384,903.42 and 98,720.32 is: 148,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,534.24 : 384,903.42 = 98,720.32 : x
  2. Step 2: Convert to fraction form
    256,534.24/384,903.42 = 98,720.32/x
  3. Step 3: Cross multiply
    256,534.24x = 384,903.42 × 98,720.32
  4. Step 4: Simplify right side
    256,534.24x = 37,997,788,791.49
  5. Step 5: Solve for x
    x = 37,997,788,791.49/256,534.24
  6. Step 6: Final answer
    x = 148,119.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.