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Finding the Fourth Proportional to 230,676.84, 346,151.90 and 97,549.80

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Solution

The fourth proportional to 230,676.84, 346,151.90 and 97,549.80 is: 146,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,676.84 : 346,151.90 = 97,549.80 : x
  2. Step 2: Convert to fraction form
    230,676.84/346,151.90 = 97,549.80/x
  3. Step 3: Cross multiply
    230,676.84x = 346,151.90 × 97,549.80
  4. Step 4: Simplify right side
    230,676.84x = 33,767,048,614.62
  5. Step 5: Solve for x
    x = 33,767,048,614.62/230,676.84
  6. Step 6: Final answer
    x = 146,382.48

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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.