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Finding the Fourth Proportional to 283,336.68, 424,936.98 and 83,603.10

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Solution

The fourth proportional to 283,336.68, 424,936.98 and 83,603.10 is: 125,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,336.68 : 424,936.98 = 83,603.10 : x
  2. Step 2: Convert to fraction form
    283,336.68/424,936.98 = 83,603.10/x
  3. Step 3: Cross multiply
    283,336.68x = 424,936.98 × 83,603.10
  4. Step 4: Simplify right side
    283,336.68x = 35,526,048,832.64
  5. Step 5: Solve for x
    x = 35,526,048,832.64/283,336.68
  6. Step 6: Final answer
    x = 125,384.57

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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.