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Finding the Fourth Proportional to 119,076.75, 178,615.13 and 35,970.75

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Solution

The fourth proportional to 119,076.75, 178,615.13 and 35,970.75 is: 53,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,076.75 : 178,615.13 = 35,970.75 : x
  2. Step 2: Convert to fraction form
    119,076.75/178,615.13 = 35,970.75/x
  3. Step 3: Cross multiply
    119,076.75x = 178,615.13 × 35,970.75
  4. Step 4: Simplify right side
    119,076.75x = 6,424,920,007.59
  5. Step 5: Solve for x
    x = 6,424,920,007.59/119,076.75
  6. Step 6: Final answer
    x = 53,956.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.