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Finding the Fourth Proportional to 133,809.60, 200,714.40 and 54,897.60

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Solution

The fourth proportional to 133,809.60, 200,714.40 and 54,897.60 is: 82,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,809.60 : 200,714.40 = 54,897.60 : x
  2. Step 2: Convert to fraction form
    133,809.60/200,714.40 = 54,897.60/x
  3. Step 3: Cross multiply
    133,809.60x = 200,714.40 × 54,897.60
  4. Step 4: Simplify right side
    133,809.60x = 11,018,738,845.44
  5. Step 5: Solve for x
    x = 11,018,738,845.44/133,809.60
  6. Step 6: Final answer
    x = 82,346.40

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1.5x scale

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.