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Finding the Fourth Proportional to 279,683.16, 419,585.50 and 102,189.90

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Solution

The fourth proportional to 279,683.16, 419,585.50 and 102,189.90 is: 153,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,683.16 : 419,585.50 = 102,189.90 : x
  2. Step 2: Convert to fraction form
    279,683.16/419,585.50 = 102,189.90/x
  3. Step 3: Cross multiply
    279,683.16x = 419,585.50 × 102,189.90
  4. Step 4: Simplify right side
    279,683.16x = 42,877,400,286.45
  5. Step 5: Solve for x
    x = 42,877,400,286.45/279,683.16
  6. Step 6: Final answer
    x = 153,307.05

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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.