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Finding the Fourth Proportional to 212,973.70, 293,998.17 and 137,558.98

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Solution

The fourth proportional to 212,973.70, 293,998.17 and 137,558.98 is: 189,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,973.70 : 293,998.17 = 137,558.98 : x
  2. Step 2: Convert to fraction form
    212,973.70/293,998.17 = 137,558.98/x
  3. Step 3: Cross multiply
    212,973.70x = 293,998.17 × 137,558.98
  4. Step 4: Simplify right side
    212,973.70x = 40,442,088,387.07
  5. Step 5: Solve for x
    x = 40,442,088,387.07/212,973.70
  6. Step 6: Final answer
    x = 189,892.41

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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.