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Finding the Fourth Proportional to 283,075.23, 424,616.49 and 83,350.20

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Solution

The fourth proportional to 283,075.23, 424,616.49 and 83,350.20 is: 125,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,075.23 : 424,616.49 = 83,350.20 : x
  2. Step 2: Convert to fraction form
    283,075.23/424,616.49 = 83,350.20/x
  3. Step 3: Cross multiply
    283,075.23x = 424,616.49 × 83,350.20
  4. Step 4: Simplify right side
    283,075.23x = 35,391,869,364.80
  5. Step 5: Solve for x
    x = 35,391,869,364.80/283,075.23
  6. Step 6: Final answer
    x = 125,026.37

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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.