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Finding the Fourth Proportional to 311,055.33, 466,218.81 and 118,803.81

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Solution

The fourth proportional to 311,055.33, 466,218.81 and 118,803.81 is: 178,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,055.33 : 466,218.81 = 118,803.81 : x
  2. Step 2: Convert to fraction form
    311,055.33/466,218.81 = 118,803.81/x
  3. Step 3: Cross multiply
    311,055.33x = 466,218.81 × 118,803.81
  4. Step 4: Simplify right side
    311,055.33x = 55,388,570,921.67
  5. Step 5: Solve for x
    x = 55,388,570,921.67/311,055.33
  6. Step 6: Final answer
    x = 178,066.62

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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.