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Finding the Fourth Proportional to 118,903.44, 178,335.72 and 35,778

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Solution

The fourth proportional to 118,903.44, 178,335.72 and 35,778 is: 53,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,903.44 : 178,335.72 = 35,778 : x
  2. Step 2: Convert to fraction form
    118,903.44/178,335.72 = 35,778/x
  3. Step 3: Cross multiply
    118,903.44x = 178,335.72 × 35,778
  4. Step 4: Simplify right side
    118,903.44x = 6,380,495,390.16
  5. Step 5: Solve for x
    x = 6,380,495,390.16/118,903.44
  6. Step 6: Final answer
    x = 53,661.15

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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.