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Finding the Fourth Proportional to 189,852.89, 284,779.61 and 77,533.11

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Solution

The fourth proportional to 189,852.89, 284,779.61 and 77,533.11 is: 116,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,852.89 : 284,779.61 = 77,533.11 : x
  2. Step 2: Convert to fraction form
    189,852.89/284,779.61 = 77,533.11/x
  3. Step 3: Cross multiply
    189,852.89x = 284,779.61 × 77,533.11
  4. Step 4: Simplify right side
    189,852.89x = 22,079,848,827.89
  5. Step 5: Solve for x
    x = 22,079,848,827.89/189,852.89
  6. Step 6: Final answer
    x = 116,299.78

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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.