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Finding the Fourth Proportional to 196,218.90, 294,328.35 and 111,978.90

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Solution

The fourth proportional to 196,218.90, 294,328.35 and 111,978.90 is: 167,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,218.90 : 294,328.35 = 111,978.90 : x
  2. Step 2: Convert to fraction form
    196,218.90/294,328.35 = 111,978.90/x
  3. Step 3: Cross multiply
    196,218.90x = 294,328.35 × 111,978.90
  4. Step 4: Simplify right side
    196,218.90x = 32,958,564,871.82
  5. Step 5: Solve for x
    x = 32,958,564,871.82/196,218.90
  6. Step 6: Final answer
    x = 167,968.35

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1.5x scale

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.