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Finding the Fourth Proportional to 228,500.80, 342,848.40 and 110,111.20

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Solution

The fourth proportional to 228,500.80, 342,848.40 and 110,111.20 is: 165,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,500.80 : 342,848.40 = 110,111.20 : x
  2. Step 2: Convert to fraction form
    228,500.80/342,848.40 = 110,111.20/x
  3. Step 3: Cross multiply
    228,500.80x = 342,848.40 × 110,111.20
  4. Step 4: Simplify right side
    228,500.80x = 37,751,448,742.08
  5. Step 5: Solve for x
    x = 37,751,448,742.08/228,500.80
  6. Step 6: Final answer
    x = 165,213.64

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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.