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Finding the Fourth Proportional to 188,051.20, 282,089.60 and 54,931.20

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Solution

The fourth proportional to 188,051.20, 282,089.60 and 54,931.20 is: 82,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,051.20 : 282,089.60 = 54,931.20 : x
  2. Step 2: Convert to fraction form
    188,051.20/282,089.60 = 54,931.20/x
  3. Step 3: Cross multiply
    188,051.20x = 282,089.60 × 54,931.20
  4. Step 4: Simplify right side
    188,051.20x = 15,495,520,235.52
  5. Step 5: Solve for x
    x = 15,495,520,235.52/188,051.20
  6. Step 6: Final answer
    x = 82,400.54

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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.