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Finding the Fourth Proportional to 218,438.64, 301,538.34 and 146,860.20

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Solution

The fourth proportional to 218,438.64, 301,538.34 and 146,860.20 is: 202,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,438.64 : 301,538.34 = 146,860.20 : x
  2. Step 2: Convert to fraction form
    218,438.64/301,538.34 = 146,860.20/x
  3. Step 3: Cross multiply
    218,438.64x = 301,538.34 × 146,860.20
  4. Step 4: Simplify right side
    218,438.64x = 44,283,980,920.07
  5. Step 5: Solve for x
    x = 44,283,980,920.07/218,438.64
  6. Step 6: Final answer
    x = 202,729.61

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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.