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Finding the Fourth Proportional to 282,759.54, 424,206.94 and 83,075.50

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Solution

The fourth proportional to 282,759.54, 424,206.94 and 83,075.50 is: 124,633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,759.54 : 424,206.94 = 83,075.50 : x
  2. Step 2: Convert to fraction form
    282,759.54/424,206.94 = 83,075.50/x
  3. Step 3: Cross multiply
    282,759.54x = 424,206.94 × 83,075.50
  4. Step 4: Simplify right side
    282,759.54x = 35,241,203,643.97
  5. Step 5: Solve for x
    x = 35,241,203,643.97/282,759.54
  6. Step 6: Final answer
    x = 124,633.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.