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Finding the Fourth Proportional to 212,212.32, 292,855.32 and 116,719.80

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Solution

The fourth proportional to 212,212.32, 292,855.32 and 116,719.80 is: 161,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,212.32 : 292,855.32 = 116,719.80 : x
  2. Step 2: Convert to fraction form
    212,212.32/292,855.32 = 116,719.80/x
  3. Step 3: Cross multiply
    212,212.32x = 292,855.32 × 116,719.80
  4. Step 4: Simplify right side
    212,212.32x = 34,182,014,379.34
  5. Step 5: Solve for x
    x = 34,182,014,379.34/212,212.32
  6. Step 6: Final answer
    x = 161,074.60

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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.