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Finding the Fourth Proportional to 119,267.64, 178,904.70 and 49,152.42

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Solution

The fourth proportional to 119,267.64, 178,904.70 and 49,152.42 is: 73,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,267.64 : 178,904.70 = 49,152.42 : x
  2. Step 2: Convert to fraction form
    119,267.64/178,904.70 = 49,152.42/x
  3. Step 3: Cross multiply
    119,267.64x = 178,904.70 × 49,152.42
  4. Step 4: Simplify right side
    119,267.64x = 8,793,598,954.37
  5. Step 5: Solve for x
    x = 8,793,598,954.37/119,267.64
  6. Step 6: Final answer
    x = 73,729.97

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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.