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Finding the Fourth Proportional to 177,327.40, 244,678.24 and 105,714.08

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Solution

The fourth proportional to 177,327.40, 244,678.24 and 105,714.08 is: 145,865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,327.40 : 244,678.24 = 105,714.08 : x
  2. Step 2: Convert to fraction form
    177,327.40/244,678.24 = 105,714.08/x
  3. Step 3: Cross multiply
    177,327.40x = 244,678.24 × 105,714.08
  4. Step 4: Simplify right side
    177,327.40x = 25,865,935,037.62
  5. Step 5: Solve for x
    x = 25,865,935,037.62/177,327.40
  6. Step 6: Final answer
    x = 145,865.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.