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Finding the Fourth Proportional to 260,098.12, 358,957.38 and 146,941.48

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Solution

The fourth proportional to 260,098.12, 358,957.38 and 146,941.48 is: 202,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,098.12 : 358,957.38 = 146,941.48 : x
  2. Step 2: Convert to fraction form
    260,098.12/358,957.38 = 146,941.48/x
  3. Step 3: Cross multiply
    260,098.12x = 358,957.38 × 146,941.48
  4. Step 4: Simplify right side
    260,098.12x = 52,745,728,674.12
  5. Step 5: Solve for x
    x = 52,745,728,674.12/260,098.12
  6. Step 6: Final answer
    x = 202,791.66

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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.