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Finding the Fourth Proportional to 256,005.48, 353,288.58 and 142,833

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Solution

The fourth proportional to 256,005.48, 353,288.58 and 142,833 is: 197,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,005.48 : 353,288.58 = 142,833 : x
  2. Step 2: Convert to fraction form
    256,005.48/353,288.58 = 142,833/x
  3. Step 3: Cross multiply
    256,005.48x = 353,288.58 × 142,833
  4. Step 4: Simplify right side
    256,005.48x = 50,461,267,747.14
  5. Step 5: Solve for x
    x = 50,461,267,747.14/256,005.48
  6. Step 6: Final answer
    x = 197,110.11

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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.