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Finding the Fourth Proportional to 229,219.50, 343,967.49 and 97,891.50

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Solution

The fourth proportional to 229,219.50, 343,967.49 and 97,891.50 is: 146,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,219.50 : 343,967.49 = 97,891.50 : x
  2. Step 2: Convert to fraction form
    229,219.50/343,967.49 = 97,891.50/x
  3. Step 3: Cross multiply
    229,219.50x = 343,967.49 × 97,891.50
  4. Step 4: Simplify right side
    229,219.50x = 33,671,493,547.34
  5. Step 5: Solve for x
    x = 33,671,493,547.34/229,219.50
  6. Step 6: Final answer
    x = 146,896.29

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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.