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Finding the Fourth Proportional to 311,146, 466,788.12 and 114,154

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Solution

The fourth proportional to 311,146, 466,788.12 and 114,154 is: 171,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,146 : 466,788.12 = 114,154 : x
  2. Step 2: Convert to fraction form
    311,146/466,788.12 = 114,154/x
  3. Step 3: Cross multiply
    311,146x = 466,788.12 × 114,154
  4. Step 4: Simplify right side
    311,146x = 53,285,731,050.48
  5. Step 5: Solve for x
    x = 53,285,731,050.48/311,146
  6. Step 6: Final answer
    x = 171,256.36

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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.