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Finding the Fourth Proportional to 282,075.44, 423,022.44 and 148,879.04

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Solution

The fourth proportional to 282,075.44, 423,022.44 and 148,879.04 is: 223,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,075.44 : 423,022.44 = 148,879.04 : x
  2. Step 2: Convert to fraction form
    282,075.44/423,022.44 = 148,879.04/x
  3. Step 3: Cross multiply
    282,075.44x = 423,022.44 × 148,879.04
  4. Step 4: Simplify right side
    282,075.44x = 62,979,174,765.66
  5. Step 5: Solve for x
    x = 62,979,174,765.66/282,075.44
  6. Step 6: Final answer
    x = 223,270.68

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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.