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Finding the Fourth Proportional to 177,846.32, 266,473.32 and 125,145.08

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Solution

The fourth proportional to 177,846.32, 266,473.32 and 125,145.08 is: 187,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,846.32 : 266,473.32 = 125,145.08 : x
  2. Step 2: Convert to fraction form
    177,846.32/266,473.32 = 125,145.08/x
  3. Step 3: Cross multiply
    177,846.32x = 266,473.32 × 125,145.08
  4. Step 4: Simplify right side
    177,846.32x = 33,347,824,949.27
  5. Step 5: Solve for x
    x = 33,347,824,949.27/177,846.32
  6. Step 6: Final answer
    x = 187,509.22

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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.