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Finding the Fourth Proportional to 205,514.40, 308,271.60 and 183,741.60

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Solution

The fourth proportional to 205,514.40, 308,271.60 and 183,741.60 is: 275,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,514.40 : 308,271.60 = 183,741.60 : x
  2. Step 2: Convert to fraction form
    205,514.40/308,271.60 = 183,741.60/x
  3. Step 3: Cross multiply
    205,514.40x = 308,271.60 × 183,741.60
  4. Step 4: Simplify right side
    205,514.40x = 56,642,317,018.56
  5. Step 5: Solve for x
    x = 56,642,317,018.56/205,514.40
  6. Step 6: Final answer
    x = 275,612.40

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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.