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Finding the Fourth Proportional to 196,667.60, 294,828.60 and 117,813.20

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Solution

The fourth proportional to 196,667.60, 294,828.60 and 117,813.20 is: 176,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,667.60 : 294,828.60 = 117,813.20 : x
  2. Step 2: Convert to fraction form
    196,667.60/294,828.60 = 117,813.20/x
  3. Step 3: Cross multiply
    196,667.60x = 294,828.60 × 117,813.20
  4. Step 4: Simplify right side
    196,667.60x = 34,734,700,817.52
  5. Step 5: Solve for x
    x = 34,734,700,817.52/196,667.60
  6. Step 6: Final answer
    x = 176,616.28

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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.