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Finding the Fourth Proportional to 149,848.84, 224,698.88 and 55,075.20

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Solution

The fourth proportional to 149,848.84, 224,698.88 and 55,075.20 is: 82,585.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,848.84 : 224,698.88 = 55,075.20 : x
  2. Step 2: Convert to fraction form
    149,848.84/224,698.88 = 55,075.20/x
  3. Step 3: Cross multiply
    149,848.84x = 224,698.88 × 55,075.20
  4. Step 4: Simplify right side
    149,848.84x = 12,375,335,755.78
  5. Step 5: Solve for x
    x = 12,375,335,755.78/149,848.84
  6. Step 6: Final answer
    x = 82,585.46

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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.