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Finding the Fourth Proportional to 206,955.36, 310,265.61 and 64,727.46

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Solution

The fourth proportional to 206,955.36, 310,265.61 and 64,727.46 is: 97,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,955.36 : 310,265.61 = 64,727.46 : x
  2. Step 2: Convert to fraction form
    206,955.36/310,265.61 = 64,727.46/x
  3. Step 3: Cross multiply
    206,955.36x = 310,265.61 × 64,727.46
  4. Step 4: Simplify right side
    206,955.36x = 20,082,704,860.65
  5. Step 5: Solve for x
    x = 20,082,704,860.65/206,955.36
  6. Step 6: Final answer
    x = 97,038.82

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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.