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Finding the Fourth Proportional to 130,960.80, 196,527.60 and 47,854.80

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Solution

The fourth proportional to 130,960.80, 196,527.60 and 47,854.80 is: 71,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,960.80 : 196,527.60 = 47,854.80 : x
  2. Step 2: Convert to fraction form
    130,960.80/196,527.60 = 47,854.80/x
  3. Step 3: Cross multiply
    130,960.80x = 196,527.60 × 47,854.80
  4. Step 4: Simplify right side
    130,960.80x = 9,404,788,992.48
  5. Step 5: Solve for x
    x = 9,404,788,992.48/130,960.80
  6. Step 6: Final answer
    x = 71,813.77

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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.