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Finding the Fourth Proportional to 209,361.05, 314,043.51 and 59,601.32

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Solution

The fourth proportional to 209,361.05, 314,043.51 and 59,601.32 is: 89,402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,361.05 : 314,043.51 = 59,601.32 : x
  2. Step 2: Convert to fraction form
    209,361.05/314,043.51 = 59,601.32/x
  3. Step 3: Cross multiply
    209,361.05x = 314,043.51 × 59,601.32
  4. Step 4: Simplify right side
    209,361.05x = 18,717,406,163.22
  5. Step 5: Solve for x
    x = 18,717,406,163.22/209,361.05
  6. Step 6: Final answer
    x = 89,402.53

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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.