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Finding the Fourth Proportional to 206,828.64, 310,166.34 and 73,673.52

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Solution

The fourth proportional to 206,828.64, 310,166.34 and 73,673.52 is: 110,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,828.64 : 310,166.34 = 73,673.52 : x
  2. Step 2: Convert to fraction form
    206,828.64/310,166.34 = 73,673.52/x
  3. Step 3: Cross multiply
    206,828.64x = 310,166.34 × 73,673.52
  4. Step 4: Simplify right side
    206,828.64x = 22,851,046,053.32
  5. Step 5: Solve for x
    x = 22,851,046,053.32/206,828.64
  6. Step 6: Final answer
    x = 110,482.99

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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.