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Finding the Fourth Proportional to 214,051.14, 295,387.32 and 117,254.22

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Solution

The fourth proportional to 214,051.14, 295,387.32 and 117,254.22 is: 161,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,051.14 : 295,387.32 = 117,254.22 : x
  2. Step 2: Convert to fraction form
    214,051.14/295,387.32 = 117,254.22/x
  3. Step 3: Cross multiply
    214,051.14x = 295,387.32 × 117,254.22
  4. Step 4: Simplify right side
    214,051.14x = 34,635,409,804.49
  5. Step 5: Solve for x
    x = 34,635,409,804.49/214,051.14
  6. Step 6: Final answer
    x = 161,809.04

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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.