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Finding the Fourth Proportional to 262,094, 361,689.96 and 142,862

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Solution

The fourth proportional to 262,094, 361,689.96 and 142,862 is: 197,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,094 : 361,689.96 = 142,862 : x
  2. Step 2: Convert to fraction form
    262,094/361,689.96 = 142,862/x
  3. Step 3: Cross multiply
    262,094x = 361,689.96 × 142,862
  4. Step 4: Simplify right side
    262,094x = 51,671,751,065.52
  5. Step 5: Solve for x
    x = 51,671,751,065.52/262,094
  6. Step 6: Final answer
    x = 197,149.69

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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.