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Finding the Fourth Proportional to 145,989.72, 201,459.69 and 82,333.44

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Solution

The fourth proportional to 145,989.72, 201,459.69 and 82,333.44 is: 113,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,989.72 : 201,459.69 = 82,333.44 : x
  2. Step 2: Convert to fraction form
    145,989.72/201,459.69 = 82,333.44/x
  3. Step 3: Cross multiply
    145,989.72x = 201,459.69 × 82,333.44
  4. Step 4: Simplify right side
    145,989.72x = 16,586,869,299.03
  5. Step 5: Solve for x
    x = 16,586,869,299.03/145,989.72
  6. Step 6: Final answer
    x = 113,616.69

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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.