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Finding the Fourth Proportional to 262,095.67, 361,690.20 and 148,918.42

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Solution

The fourth proportional to 262,095.67, 361,690.20 and 148,918.42 is: 205,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,095.67 : 361,690.20 = 148,918.42 : x
  2. Step 2: Convert to fraction form
    262,095.67/361,690.20 = 148,918.42/x
  3. Step 3: Cross multiply
    262,095.67x = 361,690.20 × 148,918.42
  4. Step 4: Simplify right side
    262,095.67x = 53,862,334,373.43
  5. Step 5: Solve for x
    x = 53,862,334,373.43/262,095.67
  6. Step 6: Final answer
    x = 205,506.38

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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.