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Finding the Fourth Proportional to 199,051.40, 297,848.10 and 146,563.40

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Solution

The fourth proportional to 199,051.40, 297,848.10 and 146,563.40 is: 219,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,051.40 : 297,848.10 = 146,563.40 : x
  2. Step 2: Convert to fraction form
    199,051.40/297,848.10 = 146,563.40/x
  3. Step 3: Cross multiply
    199,051.40x = 297,848.10 × 146,563.40
  4. Step 4: Simplify right side
    199,051.40x = 43,653,630,219.54
  5. Step 5: Solve for x
    x = 43,653,630,219.54/199,051.40
  6. Step 6: Final answer
    x = 219,308.33

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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.