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Finding the Fourth Proportional to 266,376.12, 399,521.04 and 97,855.01

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Solution

The fourth proportional to 266,376.12, 399,521.04 and 97,855.01 is: 146,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,376.12 : 399,521.04 = 97,855.01 : x
  2. Step 2: Convert to fraction form
    266,376.12/399,521.04 = 97,855.01/x
  3. Step 3: Cross multiply
    266,376.12x = 399,521.04 × 97,855.01
  4. Step 4: Simplify right side
    266,376.12x = 39,095,135,364.41
  5. Step 5: Solve for x
    x = 39,095,135,364.41/266,376.12
  6. Step 6: Final answer
    x = 146,766.67

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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.