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Finding the Fourth Proportional to 216,624.16, 324,934.08 and 164,354.32

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Solution

The fourth proportional to 216,624.16, 324,934.08 and 164,354.32 is: 246,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,624.16 : 324,934.08 = 164,354.32 : x
  2. Step 2: Convert to fraction form
    216,624.16/324,934.08 = 164,354.32/x
  3. Step 3: Cross multiply
    216,624.16x = 324,934.08 × 164,354.32
  4. Step 4: Simplify right side
    216,624.16x = 53,404,319,763.23
  5. Step 5: Solve for x
    x = 53,404,319,763.23/216,624.16
  6. Step 6: Final answer
    x = 246,529.84

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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.