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Finding the Fourth Proportional to 119,009.68, 178,389.96 and 40,096.64

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Solution

The fourth proportional to 119,009.68, 178,389.96 and 40,096.64 is: 60,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,009.68 : 178,389.96 = 40,096.64 : x
  2. Step 2: Convert to fraction form
    119,009.68/178,389.96 = 40,096.64/x
  3. Step 3: Cross multiply
    119,009.68x = 178,389.96 × 40,096.64
  4. Step 4: Simplify right side
    119,009.68x = 7,152,838,005.73
  5. Step 5: Solve for x
    x = 7,152,838,005.73/119,009.68
  6. Step 6: Final answer
    x = 60,102.99

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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.