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Finding the Fourth Proportional to 196,502.40, 294,451.20 and 146,347.20

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Solution

The fourth proportional to 196,502.40, 294,451.20 and 146,347.20 is: 219,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,502.40 : 294,451.20 = 146,347.20 : x
  2. Step 2: Convert to fraction form
    196,502.40/294,451.20 = 146,347.20/x
  3. Step 3: Cross multiply
    196,502.40x = 294,451.20 × 146,347.20
  4. Step 4: Simplify right side
    196,502.40x = 43,092,108,656.64
  5. Step 5: Solve for x
    x = 43,092,108,656.64/196,502.40
  6. Step 6: Final answer
    x = 219,295.58

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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.