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Finding the Fourth Proportional to 311,094.90, 466,525.71 and 133,510.50

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Solution

The fourth proportional to 311,094.90, 466,525.71 and 133,510.50 is: 200,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,094.90 : 466,525.71 = 133,510.50 : x
  2. Step 2: Convert to fraction form
    311,094.90/466,525.71 = 133,510.50/x
  3. Step 3: Cross multiply
    311,094.90x = 466,525.71 × 133,510.50
  4. Step 4: Simplify right side
    311,094.90x = 62,286,080,804.96
  5. Step 5: Solve for x
    x = 62,286,080,804.96/311,094.90
  6. Step 6: Final answer
    x = 200,215.69

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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.