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Finding the Fourth Proportional to 255,684.49, 352,766.40 and 148,233.08

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Solution

The fourth proportional to 255,684.49, 352,766.40 and 148,233.08 is: 204,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,684.49 : 352,766.40 = 148,233.08 : x
  2. Step 2: Convert to fraction form
    255,684.49/352,766.40 = 148,233.08/x
  3. Step 3: Cross multiply
    255,684.49x = 352,766.40 × 148,233.08
  4. Step 4: Simplify right side
    255,684.49x = 52,291,649,992.51
  5. Step 5: Solve for x
    x = 52,291,649,992.51/255,684.49
  6. Step 6: Final answer
    x = 204,516.32

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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.