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Finding the Fourth Proportional to 188,373.74, 282,575.08 and 53,435.50

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Solution

The fourth proportional to 188,373.74, 282,575.08 and 53,435.50 is: 80,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,373.74 : 282,575.08 = 53,435.50 : x
  2. Step 2: Convert to fraction form
    188,373.74/282,575.08 = 53,435.50/x
  3. Step 3: Cross multiply
    188,373.74x = 282,575.08 × 53,435.50
  4. Step 4: Simplify right side
    188,373.74x = 15,099,540,687.34
  5. Step 5: Solve for x
    x = 15,099,540,687.34/188,373.74
  6. Step 6: Final answer
    x = 80,157.35

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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.