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Finding the Fourth Proportional to 255,267, 383,075.46 and 89,055

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Solution

The fourth proportional to 255,267, 383,075.46 and 89,055 is: 133,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,267 : 383,075.46 = 89,055 : x
  2. Step 2: Convert to fraction form
    255,267/383,075.46 = 89,055/x
  3. Step 3: Cross multiply
    255,267x = 383,075.46 × 89,055
  4. Step 4: Simplify right side
    255,267x = 34,114,785,090.30
  5. Step 5: Solve for x
    x = 34,114,785,090.30/255,267
  6. Step 6: Final answer
    x = 133,643.54

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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.