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Finding the Fourth Proportional to 211,971.82, 292,523.43 and 116,478.53

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Solution

The fourth proportional to 211,971.82, 292,523.43 and 116,478.53 is: 160,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,971.82 : 292,523.43 = 116,478.53 : x
  2. Step 2: Convert to fraction form
    211,971.82/292,523.43 = 116,478.53/x
  3. Step 3: Cross multiply
    211,971.82x = 292,523.43 × 116,478.53
  4. Step 4: Simplify right side
    211,971.82x = 34,072,699,116.96
  5. Step 5: Solve for x
    x = 34,072,699,116.96/211,971.82
  6. Step 6: Final answer
    x = 160,741.65

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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.