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Finding the Fourth Proportional to 260,646.30, 359,585.00 and 158,589.94

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Solution

The fourth proportional to 260,646.30, 359,585.00 and 158,589.94 is: 218,789.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,646.30 : 359,585.00 = 158,589.94 : x
  2. Step 2: Convert to fraction form
    260,646.30/359,585.00 = 158,589.94/x
  3. Step 3: Cross multiply
    260,646.30x = 359,585.00 × 158,589.94
  4. Step 4: Simplify right side
    260,646.30x = 57,026,563,717.22
  5. Step 5: Solve for x
    x = 57,026,563,717.22/260,646.30
  6. Step 6: Final answer
    x = 218,789.08

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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.