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Finding the Fourth Proportional to 261,808.40, 361,297.32 and 148,633.04

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Solution

The fourth proportional to 261,808.40, 361,297.32 and 148,633.04 is: 205,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,808.40 : 361,297.32 = 148,633.04 : x
  2. Step 2: Convert to fraction form
    261,808.40/361,297.32 = 148,633.04/x
  3. Step 3: Cross multiply
    261,808.40x = 361,297.32 × 148,633.04
  4. Step 4: Simplify right side
    261,808.40x = 53,700,719,015.45
  5. Step 5: Solve for x
    x = 53,700,719,015.45/261,808.40
  6. Step 6: Final answer
    x = 205,114.58

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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.