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Finding the Fourth Proportional to 255,643.20, 383,461.20 and 115,401.60

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Solution

The fourth proportional to 255,643.20, 383,461.20 and 115,401.60 is: 173,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,643.20 : 383,461.20 = 115,401.60 : x
  2. Step 2: Convert to fraction form
    255,643.20/383,461.20 = 115,401.60/x
  3. Step 3: Cross multiply
    255,643.20x = 383,461.20 × 115,401.60
  4. Step 4: Simplify right side
    255,643.20x = 44,252,036,017.92
  5. Step 5: Solve for x
    x = 44,252,036,017.92/255,643.20
  6. Step 6: Final answer
    x = 173,100.77

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