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Finding the Fourth Proportional to 309,075.20, 463,612.80 and 142,863.20

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Solution

The fourth proportional to 309,075.20, 463,612.80 and 142,863.20 is: 214,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,075.20 : 463,612.80 = 142,863.20 : x
  2. Step 2: Convert to fraction form
    309,075.20/463,612.80 = 142,863.20/x
  3. Step 3: Cross multiply
    309,075.20x = 463,612.80 × 142,863.20
  4. Step 4: Simplify right side
    309,075.20x = 66,233,208,168.96
  5. Step 5: Solve for x
    x = 66,233,208,168.96/309,075.20
  6. Step 6: Final answer
    x = 214,294.80

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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.