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Finding the Fourth Proportional to 118,147.54, 177,155.76 and 47,064.64

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Solution

The fourth proportional to 118,147.54, 177,155.76 and 47,064.64 is: 70,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,147.54 : 177,155.76 = 47,064.64 : x
  2. Step 2: Convert to fraction form
    118,147.54/177,155.76 = 47,064.64/x
  3. Step 3: Cross multiply
    118,147.54x = 177,155.76 × 47,064.64
  4. Step 4: Simplify right side
    118,147.54x = 8,337,772,068.33
  5. Step 5: Solve for x
    x = 8,337,772,068.33/118,147.54
  6. Step 6: Final answer
    x = 70,570.85

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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.