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Finding the Fourth Proportional to 256,056.96, 353,305.86 and 147,140.24

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Solution

The fourth proportional to 256,056.96, 353,305.86 and 147,140.24 is: 203,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,056.96 : 353,305.86 = 147,140.24 : x
  2. Step 2: Convert to fraction form
    256,056.96/353,305.86 = 147,140.24/x
  3. Step 3: Cross multiply
    256,056.96x = 353,305.86 × 147,140.24
  4. Step 4: Simplify right side
    256,056.96x = 51,985,509,033.81
  5. Step 5: Solve for x
    x = 51,985,509,033.81/256,056.96
  6. Step 6: Final answer
    x = 203,023.22

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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.