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Finding the Fourth Proportional to 128,809.40, 193,214.10 and 105,769.40

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Solution

The fourth proportional to 128,809.40, 193,214.10 and 105,769.40 is: 158,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,809.40 : 193,214.10 = 105,769.40 : x
  2. Step 2: Convert to fraction form
    128,809.40/193,214.10 = 105,769.40/x
  3. Step 3: Cross multiply
    128,809.40x = 193,214.10 × 105,769.40
  4. Step 4: Simplify right side
    128,809.40x = 20,436,139,428.54
  5. Step 5: Solve for x
    x = 20,436,139,428.54/128,809.40
  6. Step 6: Final answer
    x = 158,654.10

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1.5x scale

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.