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Finding the Fourth Proportional to 196,020, 270,509.76 and 106,596

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Solution

The fourth proportional to 196,020, 270,509.76 and 106,596 is: 147,103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,020 : 270,509.76 = 106,596 : x
  2. Step 2: Convert to fraction form
    196,020/270,509.76 = 106,596/x
  3. Step 3: Cross multiply
    196,020x = 270,509.76 × 106,596
  4. Step 4: Simplify right side
    196,020x = 28,835,258,376.96
  5. Step 5: Solve for x
    x = 28,835,258,376.96/196,020
  6. Step 6: Final answer
    x = 147,103.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.