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Finding the Fourth Proportional to 255,792.18, 383,886.18 and 205,994.46

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Solution

The fourth proportional to 255,792.18, 383,886.18 and 205,994.46 is: 309,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,792.18 : 383,886.18 = 205,994.46 : x
  2. Step 2: Convert to fraction form
    255,792.18/383,886.18 = 205,994.46/x
  3. Step 3: Cross multiply
    255,792.18x = 383,886.18 × 205,994.46
  4. Step 4: Simplify right side
    255,792.18x = 79,078,426,350.56
  5. Step 5: Solve for x
    x = 79,078,426,350.56/255,792.18
  6. Step 6: Final answer
    x = 309,151.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.