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Finding the Fourth Proportional to 224,116.80, 335,714.40 and 154,075.20

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Solution

The fourth proportional to 224,116.80, 335,714.40 and 154,075.20 is: 230,796.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,116.80 : 335,714.40 = 154,075.20 : x
  2. Step 2: Convert to fraction form
    224,116.80/335,714.40 = 154,075.20/x
  3. Step 3: Cross multiply
    224,116.80x = 335,714.40 × 154,075.20
  4. Step 4: Simplify right side
    224,116.80x = 51,725,263,322.88
  5. Step 5: Solve for x
    x = 51,725,263,322.88/224,116.80
  6. Step 6: Final answer
    x = 230,796.01

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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.