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Finding the Fourth Proportional to 212,516.94, 293,275.29 and 117,024.02

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Solution

The fourth proportional to 212,516.94, 293,275.29 and 117,024.02 is: 161,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,516.94 : 293,275.29 = 117,024.02 : x
  2. Step 2: Convert to fraction form
    212,516.94/293,275.29 = 117,024.02/x
  3. Step 3: Cross multiply
    212,516.94x = 293,275.29 × 117,024.02
  4. Step 4: Simplify right side
    212,516.94x = 34,320,253,402.47
  5. Step 5: Solve for x
    x = 34,320,253,402.47/212,516.94
  6. Step 6: Final answer
    x = 161,494.20

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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.