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Finding the Fourth Proportional to 169,510.91, 254,164.87 and 57,188.64

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Solution

The fourth proportional to 169,510.91, 254,164.87 and 57,188.64 is: 85,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,510.91 : 254,164.87 = 57,188.64 : x
  2. Step 2: Convert to fraction form
    169,510.91/254,164.87 = 57,188.64/x
  3. Step 3: Cross multiply
    169,510.91x = 254,164.87 × 57,188.64
  4. Step 4: Simplify right side
    169,510.91x = 14,535,342,846.00
  5. Step 5: Solve for x
    x = 14,535,342,846.00/169,510.91
  6. Step 6: Final answer
    x = 85,748.72

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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.