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Finding the Fourth Proportional to 137,328, 205,631.54 and 110,531.58

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Solution

The fourth proportional to 137,328, 205,631.54 and 110,531.58 is: 165,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,328 : 205,631.54 = 110,531.58 : x
  2. Step 2: Convert to fraction form
    137,328/205,631.54 = 110,531.58/x
  3. Step 3: Cross multiply
    137,328x = 205,631.54 × 110,531.58
  4. Step 4: Simplify right side
    137,328x = 22,728,779,014.03
  5. Step 5: Solve for x
    x = 22,728,779,014.03/137,328
  6. Step 6: Final answer
    x = 165,507.25

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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.