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Finding the Fourth Proportional to 204,689.60, 306,582.36 and 133,714.16

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Solution

The fourth proportional to 204,689.60, 306,582.36 and 133,714.16 is: 200,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,689.60 : 306,582.36 = 133,714.16 : x
  2. Step 2: Convert to fraction form
    204,689.60/306,582.36 = 133,714.16/x
  3. Step 3: Cross multiply
    204,689.60x = 306,582.36 × 133,714.16
  4. Step 4: Simplify right side
    204,689.60x = 40,994,402,738.22
  5. Step 5: Solve for x
    x = 40,994,402,738.22/204,689.60
  6. Step 6: Final answer
    x = 200,275.94

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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.