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Finding the Fourth Proportional to 219,422.14, 329,109.60 and 148,798.10

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Solution

The fourth proportional to 219,422.14, 329,109.60 and 148,798.10 is: 223,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,422.14 : 329,109.60 = 148,798.10 : x
  2. Step 2: Convert to fraction form
    219,422.14/329,109.60 = 148,798.10/x
  3. Step 3: Cross multiply
    219,422.14x = 329,109.60 × 148,798.10
  4. Step 4: Simplify right side
    219,422.14x = 48,970,883,171.76
  5. Step 5: Solve for x
    x = 48,970,883,171.76/219,422.14
  6. Step 6: Final answer
    x = 223,181.14

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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.