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Finding the Fourth Proportional to 214,539.40, 321,809.10 and 164,870.20

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Solution

The fourth proportional to 214,539.40, 321,809.10 and 164,870.20 is: 247,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,539.40 : 321,809.10 = 164,870.20 : x
  2. Step 2: Convert to fraction form
    214,539.40/321,809.10 = 164,870.20/x
  3. Step 3: Cross multiply
    214,539.40x = 321,809.10 × 164,870.20
  4. Step 4: Simplify right side
    214,539.40x = 53,056,730,678.82
  5. Step 5: Solve for x
    x = 53,056,730,678.82/214,539.40
  6. Step 6: Final answer
    x = 247,305.30

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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.