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Finding the Fourth Proportional to 214,833.30, 321,759.08 and 102,592.14

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Solution

The fourth proportional to 214,833.30, 321,759.08 and 102,592.14 is: 153,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,833.30 : 321,759.08 = 102,592.14 : x
  2. Step 2: Convert to fraction form
    214,833.30/321,759.08 = 102,592.14/x
  3. Step 3: Cross multiply
    214,833.30x = 321,759.08 × 102,592.14
  4. Step 4: Simplify right side
    214,833.30x = 33,009,952,581.63
  5. Step 5: Solve for x
    x = 33,009,952,581.63/214,833.30
  6. Step 6: Final answer
    x = 153,653.80

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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.