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Finding the Fourth Proportional to 277,541.40, 416,364.62 and 88,049.46

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Solution

The fourth proportional to 277,541.40, 416,364.62 and 88,049.46 is: 132,090.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,541.40 : 416,364.62 = 88,049.46 : x
  2. Step 2: Convert to fraction form
    277,541.40/416,364.62 = 88,049.46/x
  3. Step 3: Cross multiply
    277,541.40x = 416,364.62 × 88,049.46
  4. Step 4: Simplify right side
    277,541.40x = 36,660,679,513.86
  5. Step 5: Solve for x
    x = 36,660,679,513.86/277,541.40
  6. Step 6: Final answer
    x = 132,090.85

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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.