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Finding the Fourth Proportional to 118,838.56, 178,287.08 and 34,599.46

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Solution

The fourth proportional to 118,838.56, 178,287.08 and 34,599.46 is: 51,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,838.56 : 178,287.08 = 34,599.46 : x
  2. Step 2: Convert to fraction form
    118,838.56/178,287.08 = 34,599.46/x
  3. Step 3: Cross multiply
    118,838.56x = 178,287.08 × 34,599.46
  4. Step 4: Simplify right side
    118,838.56x = 6,168,636,692.98
  5. Step 5: Solve for x
    x = 6,168,636,692.98/118,838.56
  6. Step 6: Final answer
    x = 51,907.70

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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.