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Finding the Fourth Proportional to 194,507.46, 290,239.90 and 154,068.20

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Solution

The fourth proportional to 194,507.46, 290,239.90 and 154,068.20 is: 229,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,507.46 : 290,239.90 = 154,068.20 : x
  2. Step 2: Convert to fraction form
    194,507.46/290,239.90 = 154,068.20/x
  3. Step 3: Cross multiply
    194,507.46x = 290,239.90 × 154,068.20
  4. Step 4: Simplify right side
    194,507.46x = 44,716,738,961.18
  5. Step 5: Solve for x
    x = 44,716,738,961.18/194,507.46
  6. Step 6: Final answer
    x = 229,897.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.