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Finding the Fourth Proportional to 177,181.17, 265,509.21 and 145,814.13

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Solution

The fourth proportional to 177,181.17, 265,509.21 and 145,814.13 is: 218,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,181.17 : 265,509.21 = 145,814.13 : x
  2. Step 2: Convert to fraction form
    177,181.17/265,509.21 = 145,814.13/x
  3. Step 3: Cross multiply
    177,181.17x = 265,509.21 × 145,814.13
  4. Step 4: Simplify right side
    177,181.17x = 38,714,994,463.14
  5. Step 5: Solve for x
    x = 38,714,994,463.14/177,181.17
  6. Step 6: Final answer
    x = 218,505.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.