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Finding the Fourth Proportional to 209,535.55, 314,387.51 and 95,737.30

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Solution

The fourth proportional to 209,535.55, 314,387.51 and 95,737.30 is: 143,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,535.55 : 314,387.51 = 95,737.30 : x
  2. Step 2: Convert to fraction form
    209,535.55/314,387.51 = 95,737.30/x
  3. Step 3: Cross multiply
    209,535.55x = 314,387.51 × 95,737.30
  4. Step 4: Simplify right side
    209,535.55x = 30,098,611,361.12
  5. Step 5: Solve for x
    x = 30,098,611,361.12/209,535.55
  6. Step 6: Final answer
    x = 143,644.41

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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.