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Finding the Fourth Proportional to 196,488.64, 294,484.80 and 84,035.20

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Solution

The fourth proportional to 196,488.64, 294,484.80 and 84,035.20 is: 125,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,488.64 : 294,484.80 = 84,035.20 : x
  2. Step 2: Convert to fraction form
    196,488.64/294,484.80 = 84,035.20/x
  3. Step 3: Cross multiply
    196,488.64x = 294,484.80 × 84,035.20
  4. Step 4: Simplify right side
    196,488.64x = 24,747,089,064.96
  5. Step 5: Solve for x
    x = 24,747,089,064.96/196,488.64
  6. Step 6: Final answer
    x = 125,946.67

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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.