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Finding the Fourth Proportional to 212,913, 293,820.23 and 116,117.07

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Solution

The fourth proportional to 212,913, 293,820.23 and 116,117.07 is: 160,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,913 : 293,820.23 = 116,117.07 : x
  2. Step 2: Convert to fraction form
    212,913/293,820.23 = 116,117.07/x
  3. Step 3: Cross multiply
    212,913x = 293,820.23 × 116,117.07
  4. Step 4: Simplify right side
    212,913x = 34,117,544,214.33
  5. Step 5: Solve for x
    x = 34,117,544,214.33/212,913
  6. Step 6: Final answer
    x = 160,241.71

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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.