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Finding the Fourth Proportional to 255,894.96, 353,020.95 and 148,402.80

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Solution

The fourth proportional to 255,894.96, 353,020.95 and 148,402.80 is: 204,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,894.96 : 353,020.95 = 148,402.80 : x
  2. Step 2: Convert to fraction form
    255,894.96/353,020.95 = 148,402.80/x
  3. Step 3: Cross multiply
    255,894.96x = 353,020.95 × 148,402.80
  4. Step 4: Simplify right side
    255,894.96x = 52,389,297,438.66
  5. Step 5: Solve for x
    x = 52,389,297,438.66/255,894.96
  6. Step 6: Final answer
    x = 204,729.70

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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.