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Finding the Fourth Proportional to 189,683.53, 284,544.44 and 61,594.45

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Solution

The fourth proportional to 189,683.53, 284,544.44 and 61,594.45 is: 92,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,683.53 : 284,544.44 = 61,594.45 : x
  2. Step 2: Convert to fraction form
    189,683.53/284,544.44 = 61,594.45/x
  3. Step 3: Cross multiply
    189,683.53x = 284,544.44 × 61,594.45
  4. Step 4: Simplify right side
    189,683.53x = 17,526,357,494.00
  5. Step 5: Solve for x
    x = 17,526,357,494.00/189,683.53
  6. Step 6: Final answer
    x = 92,397.89

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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.