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Finding the Fourth Proportional to 255,885.20, 383,824.20 and 115,643.60

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Solution

The fourth proportional to 255,885.20, 383,824.20 and 115,643.60 is: 173,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,885.20 : 383,824.20 = 115,643.60 : x
  2. Step 2: Convert to fraction form
    255,885.20/383,824.20 = 115,643.60/x
  3. Step 3: Cross multiply
    255,885.20x = 383,824.20 × 115,643.60
  4. Step 4: Simplify right side
    255,885.20x = 44,386,812,255.12
  5. Step 5: Solve for x
    x = 44,386,812,255.12/255,885.20
  6. Step 6: Final answer
    x = 173,463.77

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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.