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Finding the Fourth Proportional to 333,102.94, 499,844.86 and 140,962.23

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Solution

The fourth proportional to 333,102.94, 499,844.86 and 140,962.23 is: 211,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,102.94 : 499,844.86 = 140,962.23 : x
  2. Step 2: Convert to fraction form
    333,102.94/499,844.86 = 140,962.23/x
  3. Step 3: Cross multiply
    333,102.94x = 499,844.86 × 140,962.23
  4. Step 4: Simplify right side
    333,102.94x = 70,459,247,016.84
  5. Step 5: Solve for x
    x = 70,459,247,016.84/333,102.94
  6. Step 6: Final answer
    x = 211,523.94

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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.