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Finding the Fourth Proportional to 282,075.66, 423,153 and 82,410.66

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Solution

The fourth proportional to 282,075.66, 423,153 and 82,410.66 is: 123,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,075.66 : 423,153 = 82,410.66 : x
  2. Step 2: Convert to fraction form
    282,075.66/423,153 = 82,410.66/x
  3. Step 3: Cross multiply
    282,075.66x = 423,153 × 82,410.66
  4. Step 4: Simplify right side
    282,075.66x = 34,872,318,010.98
  5. Step 5: Solve for x
    x = 34,872,318,010.98/282,075.66
  6. Step 6: Final answer
    x = 123,627.53

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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.