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Finding the Fourth Proportional to 283,080.99, 424,009.13 and 133,096.53

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Solution

The fourth proportional to 283,080.99, 424,009.13 and 133,096.53 is: 199,356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,080.99 : 424,009.13 = 133,096.53 : x
  2. Step 2: Convert to fraction form
    283,080.99/424,009.13 = 133,096.53/x
  3. Step 3: Cross multiply
    283,080.99x = 424,009.13 × 133,096.53
  4. Step 4: Simplify right side
    283,080.99x = 56,434,143,225.84
  5. Step 5: Solve for x
    x = 56,434,143,225.84/283,080.99
  6. Step 6: Final answer
    x = 199,356.88

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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.