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Finding the Fourth Proportional to 118,041.99, 177,097.59 and 38,078.35

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Solution

The fourth proportional to 118,041.99, 177,097.59 and 38,078.35 is: 57,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,041.99 : 177,097.59 = 38,078.35 : x
  2. Step 2: Convert to fraction form
    118,041.99/177,097.59 = 38,078.35/x
  3. Step 3: Cross multiply
    118,041.99x = 177,097.59 × 38,078.35
  4. Step 4: Simplify right side
    118,041.99x = 6,743,583,573.43
  5. Step 5: Solve for x
    x = 6,743,583,573.43/118,041.99
  6. Step 6: Final answer
    x = 57,128.69

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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.