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Finding the Fourth Proportional to 263,320, 363,381.84 and 144,088

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Solution

The fourth proportional to 263,320, 363,381.84 and 144,088 is: 198,841.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,320 : 363,381.84 = 144,088 : x
  2. Step 2: Convert to fraction form
    263,320/363,381.84 = 144,088/x
  3. Step 3: Cross multiply
    263,320x = 363,381.84 × 144,088
  4. Step 4: Simplify right side
    263,320x = 52,358,962,561.92
  5. Step 5: Solve for x
    x = 52,358,962,561.92/263,320
  6. Step 6: Final answer
    x = 198,841.57

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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.