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Finding the Fourth Proportional to 224,133.20, 336,199.80 and 81,978.20

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Solution

The fourth proportional to 224,133.20, 336,199.80 and 81,978.20 is: 122,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,133.20 : 336,199.80 = 81,978.20 : x
  2. Step 2: Convert to fraction form
    224,133.20/336,199.80 = 81,978.20/x
  3. Step 3: Cross multiply
    224,133.20x = 336,199.80 × 81,978.20
  4. Step 4: Simplify right side
    224,133.20x = 27,561,054,444.36
  5. Step 5: Solve for x
    x = 27,561,054,444.36/224,133.20
  6. Step 6: Final answer
    x = 122,967.30

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1.5x scale

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.