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Finding the Fourth Proportional to 212,271.84, 292,932.84 and 116,778.60

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Solution

The fourth proportional to 212,271.84, 292,932.84 and 116,778.60 is: 161,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,271.84 : 292,932.84 = 116,778.60 : x
  2. Step 2: Convert to fraction form
    212,271.84/292,932.84 = 116,778.60/x
  3. Step 3: Cross multiply
    212,271.84x = 292,932.84 × 116,778.60
  4. Step 4: Simplify right side
    212,271.84x = 34,208,286,949.22
  5. Step 5: Solve for x
    x = 34,208,286,949.22/212,271.84
  6. Step 6: Final answer
    x = 161,153.20

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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.