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Finding the Fourth Proportional to 137,007.60, 205,511.40 and 105,903.60

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Solution

The fourth proportional to 137,007.60, 205,511.40 and 105,903.60 is: 158,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,007.60 : 205,511.40 = 105,903.60 : x
  2. Step 2: Convert to fraction form
    137,007.60/205,511.40 = 105,903.60/x
  3. Step 3: Cross multiply
    137,007.60x = 205,511.40 × 105,903.60
  4. Step 4: Simplify right side
    137,007.60x = 21,764,397,101.04
  5. Step 5: Solve for x
    x = 21,764,397,101.04/137,007.60
  6. Step 6: Final answer
    x = 158,855.40

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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.