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Finding the Fourth Proportional to 254,763.52, 382,210.56 and 180,032

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Solution

The fourth proportional to 254,763.52, 382,210.56 and 180,032 is: 270,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,763.52 : 382,210.56 = 180,032 : x
  2. Step 2: Convert to fraction form
    254,763.52/382,210.56 = 180,032/x
  3. Step 3: Cross multiply
    254,763.52x = 382,210.56 × 180,032
  4. Step 4: Simplify right side
    254,763.52x = 68,810,131,537.92
  5. Step 5: Solve for x
    x = 68,810,131,537.92/254,763.52
  6. Step 6: Final answer
    x = 270,094.13

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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.