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Finding the Fourth Proportional to 237,257.60, 355,704.15 and 119,013.80

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Solution

The fourth proportional to 237,257.60, 355,704.15 and 119,013.80 is: 178,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,257.60 : 355,704.15 = 119,013.80 : x
  2. Step 2: Convert to fraction form
    237,257.60/355,704.15 = 119,013.80/x
  3. Step 3: Cross multiply
    237,257.60x = 355,704.15 × 119,013.80
  4. Step 4: Simplify right side
    237,257.60x = 42,333,702,567.27
  5. Step 5: Solve for x
    x = 42,333,702,567.27/237,257.60
  6. Step 6: Final answer
    x = 178,429.28

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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.