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Finding the Fourth Proportional to 106,510.58, 158,893.62 and 103,614.86

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Solution

The fourth proportional to 106,510.58, 158,893.62 and 103,614.86 is: 154,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,510.58 : 158,893.62 = 103,614.86 : x
  2. Step 2: Convert to fraction form
    106,510.58/158,893.62 = 103,614.86/x
  3. Step 3: Cross multiply
    106,510.58x = 158,893.62 × 103,614.86
  4. Step 4: Simplify right side
    106,510.58x = 16,463,740,191.19
  5. Step 5: Solve for x
    x = 16,463,740,191.19/106,510.58
  6. Step 6: Final answer
    x = 154,573.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.