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Finding the Fourth Proportional to 189,559.64, 284,199.01 and 89,603.03

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Solution

The fourth proportional to 189,559.64, 284,199.01 and 89,603.03 is: 134,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,559.64 : 284,199.01 = 89,603.03 : x
  2. Step 2: Convert to fraction form
    189,559.64/284,199.01 = 89,603.03/x
  3. Step 3: Cross multiply
    189,559.64x = 284,199.01 × 89,603.03
  4. Step 4: Simplify right side
    189,559.64x = 25,465,092,419.00
  5. Step 5: Solve for x
    x = 25,465,092,419.00/189,559.64
  6. Step 6: Final answer
    x = 134,338.16

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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.