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Finding the Fourth Proportional to 255,080.16, 382,093.20 and 149,581.44

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Solution

The fourth proportional to 255,080.16, 382,093.20 and 149,581.44 is: 224,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,080.16 : 382,093.20 = 149,581.44 : x
  2. Step 2: Convert to fraction form
    255,080.16/382,093.20 = 149,581.44/x
  3. Step 3: Cross multiply
    255,080.16x = 382,093.20 × 149,581.44
  4. Step 4: Simplify right side
    255,080.16x = 57,154,051,070.21
  5. Step 5: Solve for x
    x = 57,154,051,070.21/255,080.16
  6. Step 6: Final answer
    x = 224,063.10

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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.