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Finding the Fourth Proportional to 123,357.60, 184,903.92 and 53,269.92

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Solution

The fourth proportional to 123,357.60, 184,903.92 and 53,269.92 is: 79,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,357.60 : 184,903.92 = 53,269.92 : x
  2. Step 2: Convert to fraction form
    123,357.60/184,903.92 = 53,269.92/x
  3. Step 3: Cross multiply
    123,357.60x = 184,903.92 × 53,269.92
  4. Step 4: Simplify right side
    123,357.60x = 9,849,817,026.09
  5. Step 5: Solve for x
    x = 9,849,817,026.09/123,357.60
  6. Step 6: Final answer
    x = 79,847.67

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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.