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Finding the Fourth Proportional to 333,121.96, 459,709.71 and 180,160.18

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Solution

The fourth proportional to 333,121.96, 459,709.71 and 180,160.18 is: 248,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,121.96 : 459,709.71 = 180,160.18 : x
  2. Step 2: Convert to fraction form
    333,121.96/459,709.71 = 180,160.18/x
  3. Step 3: Cross multiply
    333,121.96x = 459,709.71 × 180,160.18
  4. Step 4: Simplify right side
    333,121.96x = 82,821,381,802.80
  5. Step 5: Solve for x
    x = 82,821,381,802.80/333,121.96
  6. Step 6: Final answer
    x = 248,621.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.