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Finding the Fourth Proportional to 175,195, 241,769.46 and 99,743.50

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Solution

The fourth proportional to 175,195, 241,769.46 and 99,743.50 is: 137,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,195 : 241,769.46 = 99,743.50 : x
  2. Step 2: Convert to fraction form
    175,195/241,769.46 = 99,743.50/x
  3. Step 3: Cross multiply
    175,195x = 241,769.46 × 99,743.50
  4. Step 4: Simplify right side
    175,195x = 24,114,932,133.51
  5. Step 5: Solve for x
    x = 24,114,932,133.51/175,195
  6. Step 6: Final answer
    x = 137,646.23

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