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Finding the Fourth Proportional to 164,810.51, 246,960 and 114,308.09

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Solution

The fourth proportional to 164,810.51, 246,960 and 114,308.09 is: 171,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,810.51 : 246,960 = 114,308.09 : x
  2. Step 2: Convert to fraction form
    164,810.51/246,960 = 114,308.09/x
  3. Step 3: Cross multiply
    164,810.51x = 246,960 × 114,308.09
  4. Step 4: Simplify right side
    164,810.51x = 28,229,524,671.60
  5. Step 5: Solve for x
    x = 28,229,524,671.60/164,810.51
  6. Step 6: Final answer
    x = 171,284.74

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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.