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Finding the Fourth Proportional to 260,713.51, 391,725.36 and 165,985.97

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Solution

The fourth proportional to 260,713.51, 391,725.36 and 165,985.97 is: 249,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,713.51 : 391,725.36 = 165,985.97 : x
  2. Step 2: Convert to fraction form
    260,713.51/391,725.36 = 165,985.97/x
  3. Step 3: Cross multiply
    260,713.51x = 391,725.36 × 165,985.97
  4. Step 4: Simplify right side
    260,713.51x = 65,020,911,894.57
  5. Step 5: Solve for x
    x = 65,020,911,894.57/260,713.51
  6. Step 6: Final answer
    x = 249,396.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.