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Finding the Fourth Proportional to 311,052.33, 466,214.31 and 118,800.81

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Solution

The fourth proportional to 311,052.33, 466,214.31 and 118,800.81 is: 178,062.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,052.33 : 466,214.31 = 118,800.81 : x
  2. Step 2: Convert to fraction form
    311,052.33/466,214.31 = 118,800.81/x
  3. Step 3: Cross multiply
    311,052.33x = 466,214.31 × 118,800.81
  4. Step 4: Simplify right side
    311,052.33x = 55,386,637,661.59
  5. Step 5: Solve for x
    x = 55,386,637,661.59/311,052.33
  6. Step 6: Final answer
    x = 178,062.12

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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.