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Finding the Fourth Proportional to 177,442.02, 266,016.02 and 70,760.16

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Solution

The fourth proportional to 177,442.02, 266,016.02 and 70,760.16 is: 106,081.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,442.02 : 266,016.02 = 70,760.16 : x
  2. Step 2: Convert to fraction form
    177,442.02/266,016.02 = 70,760.16/x
  3. Step 3: Cross multiply
    177,442.02x = 266,016.02 × 70,760.16
  4. Step 4: Simplify right side
    177,442.02x = 18,823,335,783.96
  5. Step 5: Solve for x
    x = 18,823,335,783.96/177,442.02
  6. Step 6: Final answer
    x = 106,081.61

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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.