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Finding the Fourth Proportional to 194,971, 269,060.34 and 105,547

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Solution

The fourth proportional to 194,971, 269,060.34 and 105,547 is: 145,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,971 : 269,060.34 = 105,547 : x
  2. Step 2: Convert to fraction form
    194,971/269,060.34 = 105,547/x
  3. Step 3: Cross multiply
    194,971x = 269,060.34 × 105,547
  4. Step 4: Simplify right side
    194,971x = 28,398,511,705.98
  5. Step 5: Solve for x
    x = 28,398,511,705.98/194,971
  6. Step 6: Final answer
    x = 145,655.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.