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Finding the Fourth Proportional to 254,810.40, 382,215.60 and 114,842.40

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Solution

The fourth proportional to 254,810.40, 382,215.60 and 114,842.40 is: 172,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,810.40 : 382,215.60 = 114,842.40 : x
  2. Step 2: Convert to fraction form
    254,810.40/382,215.60 = 114,842.40/x
  3. Step 3: Cross multiply
    254,810.40x = 382,215.60 × 114,842.40
  4. Step 4: Simplify right side
    254,810.40x = 43,894,556,821.44
  5. Step 5: Solve for x
    x = 43,894,556,821.44/254,810.40
  6. Step 6: Final answer
    x = 172,263.60

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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.