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Finding the Fourth Proportional to 130,689.30, 196,059.47 and 41,935.98

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Solution

The fourth proportional to 130,689.30, 196,059.47 and 41,935.98 is: 62,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,689.30 : 196,059.47 = 41,935.98 : x
  2. Step 2: Convert to fraction form
    130,689.30/196,059.47 = 41,935.98/x
  3. Step 3: Cross multiply
    130,689.30x = 196,059.47 × 41,935.98
  4. Step 4: Simplify right side
    130,689.30x = 8,221,946,012.73
  5. Step 5: Solve for x
    x = 8,221,946,012.73/130,689.30
  6. Step 6: Final answer
    x = 62,912.16

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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.