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Finding the Fourth Proportional to 219,773.10, 329,659.65 and 148,914.30

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Solution

The fourth proportional to 219,773.10, 329,659.65 and 148,914.30 is: 223,371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,773.10 : 329,659.65 = 148,914.30 : x
  2. Step 2: Convert to fraction form
    219,773.10/329,659.65 = 148,914.30/x
  3. Step 3: Cross multiply
    219,773.10x = 329,659.65 × 148,914.30
  4. Step 4: Simplify right side
    219,773.10x = 49,091,036,018.00
  5. Step 5: Solve for x
    x = 49,091,036,018.00/219,773.10
  6. Step 6: Final answer
    x = 223,371.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.