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Finding the Fourth Proportional to 164,437.12, 246,448 and 137,065.60

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Solution

The fourth proportional to 164,437.12, 246,448 and 137,065.60 is: 205,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,437.12 : 246,448 = 137,065.60 : x
  2. Step 2: Convert to fraction form
    164,437.12/246,448 = 137,065.60/x
  3. Step 3: Cross multiply
    164,437.12x = 246,448 × 137,065.60
  4. Step 4: Simplify right side
    164,437.12x = 33,779,542,988.80
  5. Step 5: Solve for x
    x = 33,779,542,988.80/164,437.12
  6. Step 6: Final answer
    x = 205,425.29

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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.