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Finding the Fourth Proportional to 256,007.14, 353,289.27 and 148,640.02

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Solution

The fourth proportional to 256,007.14, 353,289.27 and 148,640.02 is: 205,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,007.14 : 353,289.27 = 148,640.02 : x
  2. Step 2: Convert to fraction form
    256,007.14/353,289.27 = 148,640.02/x
  3. Step 3: Cross multiply
    256,007.14x = 353,289.27 × 148,640.02
  4. Step 4: Simplify right side
    256,007.14x = 52,512,924,158.59
  5. Step 5: Solve for x
    x = 52,512,924,158.59/256,007.14
  6. Step 6: Final answer
    x = 205,122.89

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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.