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Finding the Fourth Proportional to 277,658.69, 416,528.69 and 88,055.78

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Solution

The fourth proportional to 277,658.69, 416,528.69 and 88,055.78 is: 132,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,658.69 : 416,528.69 = 88,055.78 : x
  2. Step 2: Convert to fraction form
    277,658.69/416,528.69 = 88,055.78/x
  3. Step 3: Cross multiply
    277,658.69x = 416,528.69 × 88,055.78
  4. Step 4: Simplify right side
    277,658.69x = 36,677,756,167.41
  5. Step 5: Solve for x
    x = 36,677,756,167.41/277,658.69
  6. Step 6: Final answer
    x = 132,096.56

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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.