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Finding the Fourth Proportional to 470,076.96, 705,025.20 and 133,036.20

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Solution

The fourth proportional to 470,076.96, 705,025.20 and 133,036.20 is: 199,528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,076.96 : 705,025.20 = 133,036.20 : x
  2. Step 2: Convert to fraction form
    470,076.96/705,025.20 = 133,036.20/x
  3. Step 3: Cross multiply
    470,076.96x = 705,025.20 × 133,036.20
  4. Step 4: Simplify right side
    470,076.96x = 93,793,873,512.24
  5. Step 5: Solve for x
    x = 93,793,873,512.24/470,076.96
  6. Step 6: Final answer
    x = 199,528.76

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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.