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Finding the Fourth Proportional to 119,223.15, 178,834.02 and 30,476.51

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Solution

The fourth proportional to 119,223.15, 178,834.02 and 30,476.51 is: 45,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,223.15 : 178,834.02 = 30,476.51 : x
  2. Step 2: Convert to fraction form
    119,223.15/178,834.02 = 30,476.51/x
  3. Step 3: Cross multiply
    119,223.15x = 178,834.02 × 30,476.51
  4. Step 4: Simplify right side
    119,223.15x = 5,450,237,131.67
  5. Step 5: Solve for x
    x = 5,450,237,131.67/119,223.15
  6. Step 6: Final answer
    x = 45,714.59

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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.