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Finding the Fourth Proportional to 130,458.54, 195,689.61 and 36,964.20

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Solution

The fourth proportional to 130,458.54, 195,689.61 and 36,964.20 is: 55,446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,458.54 : 195,689.61 = 36,964.20 : x
  2. Step 2: Convert to fraction form
    130,458.54/195,689.61 = 36,964.20/x
  3. Step 3: Cross multiply
    130,458.54x = 195,689.61 × 36,964.20
  4. Step 4: Simplify right side
    130,458.54x = 7,233,509,881.96
  5. Step 5: Solve for x
    x = 7,233,509,881.96/130,458.54
  6. Step 6: Final answer
    x = 55,446.81

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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.