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Finding the Fourth Proportional to 256,006.48, 353,289.96 and 142,834

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Solution

The fourth proportional to 256,006.48, 353,289.96 and 142,834 is: 197,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,006.48 : 353,289.96 = 142,834 : x
  2. Step 2: Convert to fraction form
    256,006.48/353,289.96 = 142,834/x
  3. Step 3: Cross multiply
    256,006.48x = 353,289.96 × 142,834
  4. Step 4: Simplify right side
    256,006.48x = 50,461,818,146.64
  5. Step 5: Solve for x
    x = 50,461,818,146.64/256,006.48
  6. Step 6: Final answer
    x = 197,111.49

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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.