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Finding the Fourth Proportional to 212,858.21, 293,730.93 and 117,365.69

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Solution

The fourth proportional to 212,858.21, 293,730.93 and 117,365.69 is: 161,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,858.21 : 293,730.93 = 117,365.69 : x
  2. Step 2: Convert to fraction form
    212,858.21/293,730.93 = 117,365.69/x
  3. Step 3: Cross multiply
    212,858.21x = 293,730.93 × 117,365.69
  4. Step 4: Simplify right side
    212,858.21x = 34,473,934,008.12
  5. Step 5: Solve for x
    x = 34,473,934,008.12/212,858.21
  6. Step 6: Final answer
    x = 161,957.27

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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.