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Finding the Fourth Proportional to 212,533.96, 293,298.96 and 117,043.60

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Solution

The fourth proportional to 212,533.96, 293,298.96 and 117,043.60 is: 161,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,533.96 : 293,298.96 = 117,043.60 : x
  2. Step 2: Convert to fraction form
    212,533.96/293,298.96 = 117,043.60/x
  3. Step 3: Cross multiply
    212,533.96x = 293,298.96 × 117,043.60
  4. Step 4: Simplify right side
    212,533.96x = 34,328,766,154.66
  5. Step 5: Solve for x
    x = 34,328,766,154.66/212,533.96
  6. Step 6: Final answer
    x = 161,521.32

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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.