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Finding the Fourth Proportional to 119,155.88, 178,758.36 and 34,918.80

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Solution

The fourth proportional to 119,155.88, 178,758.36 and 34,918.80 is: 52,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,155.88 : 178,758.36 = 34,918.80 : x
  2. Step 2: Convert to fraction form
    119,155.88/178,758.36 = 34,918.80/x
  3. Step 3: Cross multiply
    119,155.88x = 178,758.36 × 34,918.80
  4. Step 4: Simplify right side
    119,155.88x = 6,242,027,421.17
  5. Step 5: Solve for x
    x = 6,242,027,421.17/119,155.88
  6. Step 6: Final answer
    x = 52,385.39

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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.