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Finding the Fourth Proportional to 281,143.60, 421,909.80 and 202,314.40

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Solution

The fourth proportional to 281,143.60, 421,909.80 and 202,314.40 is: 303,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,143.60 : 421,909.80 = 202,314.40 : x
  2. Step 2: Convert to fraction form
    281,143.60/421,909.80 = 202,314.40/x
  3. Step 3: Cross multiply
    281,143.60x = 421,909.80 × 202,314.40
  4. Step 4: Simplify right side
    281,143.60x = 85,358,428,041.12
  5. Step 5: Solve for x
    x = 85,358,428,041.12/281,143.60
  6. Step 6: Final answer
    x = 303,611.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.