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Finding the Fourth Proportional to 216,178.02, 324,314.28 and 66,429

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Solution

The fourth proportional to 216,178.02, 324,314.28 and 66,429 is: 99,658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,178.02 : 324,314.28 = 66,429 : x
  2. Step 2: Convert to fraction form
    216,178.02/324,314.28 = 66,429/x
  3. Step 3: Cross multiply
    216,178.02x = 324,314.28 × 66,429
  4. Step 4: Simplify right side
    216,178.02x = 21,543,873,306.12
  5. Step 5: Solve for x
    x = 21,543,873,306.12/216,178.02
  6. Step 6: Final answer
    x = 99,658.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.