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Finding the Fourth Proportional to 119,176, 178,764.16 and 50,769.92

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Solution

The fourth proportional to 119,176, 178,764.16 and 50,769.92 is: 76,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,176 : 178,764.16 = 50,769.92 : x
  2. Step 2: Convert to fraction form
    119,176/178,764.16 = 50,769.92/x
  3. Step 3: Cross multiply
    119,176x = 178,764.16 × 50,769.92
  4. Step 4: Simplify right side
    119,176x = 9,075,842,102.07
  5. Step 5: Solve for x
    x = 9,075,842,102.07/119,176
  6. Step 6: Final answer
    x = 76,154.95

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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.