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Finding the Fourth Proportional to 203,266.06, 280,497.71 and 111,384.80

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Solution

The fourth proportional to 203,266.06, 280,497.71 and 111,384.80 is: 153,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,266.06 : 280,497.71 = 111,384.80 : x
  2. Step 2: Convert to fraction form
    203,266.06/280,497.71 = 111,384.80/x
  3. Step 3: Cross multiply
    203,266.06x = 280,497.71 × 111,384.80
  4. Step 4: Simplify right side
    203,266.06x = 31,243,180,154.48
  5. Step 5: Solve for x
    x = 31,243,180,154.48/203,266.06
  6. Step 6: Final answer
    x = 153,705.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.