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Finding the Fourth Proportional to 188,522.87, 282,784.35 and 55,403.13

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Solution

The fourth proportional to 188,522.87, 282,784.35 and 55,403.13 is: 83,104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,522.87 : 282,784.35 = 55,403.13 : x
  2. Step 2: Convert to fraction form
    188,522.87/282,784.35 = 55,403.13/x
  3. Step 3: Cross multiply
    188,522.87x = 282,784.35 × 55,403.13
  4. Step 4: Simplify right side
    188,522.87x = 15,667,139,373.22
  5. Step 5: Solve for x
    x = 15,667,139,373.22/188,522.87
  6. Step 6: Final answer
    x = 83,104.72

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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.