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Finding the Fourth Proportional to 102,920.98, 154,381.47 and 29,048.98

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Solution

The fourth proportional to 102,920.98, 154,381.47 and 29,048.98 is: 43,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,920.98 : 154,381.47 = 29,048.98 : x
  2. Step 2: Convert to fraction form
    102,920.98/154,381.47 = 29,048.98/x
  3. Step 3: Cross multiply
    102,920.98x = 154,381.47 × 29,048.98
  4. Step 4: Simplify right side
    102,920.98x = 4,484,624,234.40
  5. Step 5: Solve for x
    x = 4,484,624,234.40/102,920.98
  6. Step 6: Final answer
    x = 43,573.47

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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.