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Finding the Fourth Proportional to 190,764, 285,904.80 and 167,013.36

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Solution

The fourth proportional to 190,764, 285,904.80 and 167,013.36 is: 250,308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,764 : 285,904.80 = 167,013.36 : x
  2. Step 2: Convert to fraction form
    190,764/285,904.80 = 167,013.36/x
  3. Step 3: Cross multiply
    190,764x = 285,904.80 × 167,013.36
  4. Step 4: Simplify right side
    190,764x = 47,749,921,288.13
  5. Step 5: Solve for x
    x = 47,749,921,288.13/190,764
  6. Step 6: Final answer
    x = 250,308.87

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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.