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Finding the Fourth Proportional to 210,971.09, 291,082.53 and 120,293.99

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Solution

The fourth proportional to 210,971.09, 291,082.53 and 120,293.99 is: 165,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,971.09 : 291,082.53 = 120,293.99 : x
  2. Step 2: Convert to fraction form
    210,971.09/291,082.53 = 120,293.99/x
  3. Step 3: Cross multiply
    210,971.09x = 291,082.53 × 120,293.99
  4. Step 4: Simplify right side
    210,971.09x = 35,015,478,952.99
  5. Step 5: Solve for x
    x = 35,015,478,952.99/210,971.09
  6. Step 6: Final answer
    x = 165,972.88

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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.