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Finding the Fourth Proportional to 196,489.76, 294,488.15 and 84,038.00

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Solution

The fourth proportional to 196,489.76, 294,488.15 and 84,038.00 is: 125,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,489.76 : 294,488.15 = 84,038.00 : x
  2. Step 2: Convert to fraction form
    196,489.76/294,488.15 = 84,038.00/x
  3. Step 3: Cross multiply
    196,489.76x = 294,488.15 × 84,038.00
  4. Step 4: Simplify right side
    196,489.76x = 24,748,193,257.07
  5. Step 5: Solve for x
    x = 24,748,193,257.07/196,489.76
  6. Step 6: Final answer
    x = 125,951.57

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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.