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Finding the Fourth Proportional to 255,894.62, 353,020.34 and 148,402.35

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Solution

The fourth proportional to 255,894.62, 353,020.34 and 148,402.35 is: 204,728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,894.62 : 353,020.34 = 148,402.35 : x
  2. Step 2: Convert to fraction form
    255,894.62/353,020.34 = 148,402.35/x
  3. Step 3: Cross multiply
    255,894.62x = 353,020.34 × 148,402.35
  4. Step 4: Simplify right side
    255,894.62x = 52,389,047,311.79
  5. Step 5: Solve for x
    x = 52,389,047,311.79/255,894.62
  6. Step 6: Final answer
    x = 204,728.99

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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.