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Finding the Fourth Proportional to 105,208, 145,191.36 and 60,496

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Solution

The fourth proportional to 105,208, 145,191.36 and 60,496 is: 83,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,208 : 145,191.36 = 60,496 : x
  2. Step 2: Convert to fraction form
    105,208/145,191.36 = 60,496/x
  3. Step 3: Cross multiply
    105,208x = 145,191.36 × 60,496
  4. Step 4: Simplify right side
    105,208x = 8,783,496,514.56
  5. Step 5: Solve for x
    x = 8,783,496,514.56/105,208
  6. Step 6: Final answer
    x = 83,486.96

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