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Finding the Fourth Proportional to 230,861.72, 346,030.10 and 97,658.84

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Solution

The fourth proportional to 230,861.72, 346,030.10 and 97,658.84 is: 146,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,861.72 : 346,030.10 = 97,658.84 : x
  2. Step 2: Convert to fraction form
    230,861.72/346,030.10 = 97,658.84/x
  3. Step 3: Cross multiply
    230,861.72x = 346,030.10 × 97,658.84
  4. Step 4: Simplify right side
    230,861.72x = 33,792,898,171.08
  5. Step 5: Solve for x
    x = 33,792,898,171.08/230,861.72
  6. Step 6: Final answer
    x = 146,377.23

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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.