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Finding the Fourth Proportional to 348,900.16, 523,294.08 and 99,523.84

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Solution

The fourth proportional to 348,900.16, 523,294.08 and 99,523.84 is: 149,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,900.16 : 523,294.08 = 99,523.84 : x
  2. Step 2: Convert to fraction form
    348,900.16/523,294.08 = 99,523.84/x
  3. Step 3: Cross multiply
    348,900.16x = 523,294.08 × 99,523.84
  4. Step 4: Simplify right side
    348,900.16x = 52,080,236,290.87
  5. Step 5: Solve for x
    x = 52,080,236,290.87/348,900.16
  6. Step 6: Final answer
    x = 149,269.74

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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.