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Finding the Fourth Proportional to 129,055.38, 178,090.66 and 71,698.40

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Solution

The fourth proportional to 129,055.38, 178,090.66 and 71,698.40 is: 98,940.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,055.38 : 178,090.66 = 71,698.40 : x
  2. Step 2: Convert to fraction form
    129,055.38/178,090.66 = 71,698.40/x
  3. Step 3: Cross multiply
    129,055.38x = 178,090.66 × 71,698.40
  4. Step 4: Simplify right side
    129,055.38x = 12,768,815,642.38
  5. Step 5: Solve for x
    x = 12,768,815,642.38/129,055.38
  6. Step 6: Final answer
    x = 98,940.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.