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Finding the Fourth Proportional to 119,303.66, 178,942.03 and 30,557.84

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Solution

The fourth proportional to 119,303.66, 178,942.03 and 30,557.84 is: 45,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,303.66 : 178,942.03 = 30,557.84 : x
  2. Step 2: Convert to fraction form
    119,303.66/178,942.03 = 30,557.84/x
  3. Step 3: Cross multiply
    119,303.66x = 178,942.03 × 30,557.84
  4. Step 4: Simplify right side
    119,303.66x = 5,468,080,950.91
  5. Step 5: Solve for x
    x = 5,468,080,950.91/119,303.66
  6. Step 6: Final answer
    x = 45,833.30

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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.