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Finding the Fourth Proportional to 260,059, 358,881.42 and 140,827

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Solution

The fourth proportional to 260,059, 358,881.42 and 140,827 is: 194,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,059 : 358,881.42 = 140,827 : x
  2. Step 2: Convert to fraction form
    260,059/358,881.42 = 140,827/x
  3. Step 3: Cross multiply
    260,059x = 358,881.42 × 140,827
  4. Step 4: Simplify right side
    260,059x = 50,540,193,734.34
  5. Step 5: Solve for x
    x = 50,540,193,734.34/260,059
  6. Step 6: Final answer
    x = 194,341.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.