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Finding the Fourth Proportional to 209,954.80, 314,932.20 and 130,056.40

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Solution

The fourth proportional to 209,954.80, 314,932.20 and 130,056.40 is: 195,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,954.80 : 314,932.20 = 130,056.40 : x
  2. Step 2: Convert to fraction form
    209,954.80/314,932.20 = 130,056.40/x
  3. Step 3: Cross multiply
    209,954.80x = 314,932.20 × 130,056.40
  4. Step 4: Simplify right side
    209,954.80x = 40,958,948,176.08
  5. Step 5: Solve for x
    x = 40,958,948,176.08/209,954.80
  6. Step 6: Final answer
    x = 195,084.60

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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.