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Finding the Fourth Proportional to 209,955.80, 314,933.70 and 130,057.40

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Solution

The fourth proportional to 209,955.80, 314,933.70 and 130,057.40 is: 195,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,955.80 : 314,933.70 = 130,057.40 : x
  2. Step 2: Convert to fraction form
    209,955.80/314,933.70 = 130,057.40/x
  3. Step 3: Cross multiply
    209,955.80x = 314,933.70 × 130,057.40
  4. Step 4: Simplify right side
    209,955.80x = 40,959,458,194.38
  5. Step 5: Solve for x
    x = 40,959,458,194.38/209,955.80
  6. Step 6: Final answer
    x = 195,086.10

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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.