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Finding the Fourth Proportional to 260,761.82, 359,838.86 and 160,140.38

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Solution

The fourth proportional to 260,761.82, 359,838.86 and 160,140.38 is: 220,986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,761.82 : 359,838.86 = 160,140.38 : x
  2. Step 2: Convert to fraction form
    260,761.82/359,838.86 = 160,140.38/x
  3. Step 3: Cross multiply
    260,761.82x = 359,838.86 × 160,140.38
  4. Step 4: Simplify right side
    260,761.82x = 57,624,731,779.17
  5. Step 5: Solve for x
    x = 57,624,731,779.17/260,761.82
  6. Step 6: Final answer
    x = 220,986.08

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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.