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Finding the Fourth Proportional to 212,508.50, 293,261.74 and 117,014.96

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Solution

The fourth proportional to 212,508.50, 293,261.74 and 117,014.96 is: 161,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,508.50 : 293,261.74 = 117,014.96 : x
  2. Step 2: Convert to fraction form
    212,508.50/293,261.74 = 117,014.96/x
  3. Step 3: Cross multiply
    212,508.50x = 293,261.74 × 117,014.96
  4. Step 4: Simplify right side
    212,508.50x = 34,316,010,775.63
  5. Step 5: Solve for x
    x = 34,316,010,775.63/212,508.50
  6. Step 6: Final answer
    x = 161,480.65

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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.