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Finding the Fourth Proportional to 256,158.30, 353,471.64 and 148,707.36

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Solution

The fourth proportional to 256,158.30, 353,471.64 and 148,707.36 is: 205,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,158.30 : 353,471.64 = 148,707.36 : x
  2. Step 2: Convert to fraction form
    256,158.30/353,471.64 = 148,707.36/x
  3. Step 3: Cross multiply
    256,158.30x = 353,471.64 × 148,707.36
  4. Step 4: Simplify right side
    256,158.30x = 52,563,834,419.27
  5. Step 5: Solve for x
    x = 52,563,834,419.27/256,158.30
  6. Step 6: Final answer
    x = 205,200.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.