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Finding the Fourth Proportional to 255,025.26, 382,581.63 and 77,549.94

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Solution

The fourth proportional to 255,025.26, 382,581.63 and 77,549.94 is: 116,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,025.26 : 382,581.63 = 77,549.94 : x
  2. Step 2: Convert to fraction form
    255,025.26/382,581.63 = 77,549.94/x
  3. Step 3: Cross multiply
    255,025.26x = 382,581.63 × 77,549.94
  4. Step 4: Simplify right side
    255,025.26x = 29,669,182,451.60
  5. Step 5: Solve for x
    x = 29,669,182,451.60/255,025.26
  6. Step 6: Final answer
    x = 116,338.21

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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.