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Finding the Fourth Proportional to 144,903.60, 199,735.92 and 114,226.68

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Solution

The fourth proportional to 144,903.60, 199,735.92 and 114,226.68 is: 157,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,903.60 : 199,735.92 = 114,226.68 : x
  2. Step 2: Convert to fraction form
    144,903.60/199,735.92 = 114,226.68/x
  3. Step 3: Cross multiply
    144,903.60x = 199,735.92 × 114,226.68
  4. Step 4: Simplify right side
    144,903.60x = 22,815,170,269.34
  5. Step 5: Solve for x
    x = 22,815,170,269.34/144,903.60
  6. Step 6: Final answer
    x = 157,450.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.