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Finding the Fourth Proportional to 176,580.53, 264,864.86 and 76,740.71

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Solution

The fourth proportional to 176,580.53, 264,864.86 and 76,740.71 is: 115,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,580.53 : 264,864.86 = 76,740.71 : x
  2. Step 2: Convert to fraction form
    176,580.53/264,864.86 = 76,740.71/x
  3. Step 3: Cross multiply
    176,580.53x = 264,864.86 × 76,740.71
  4. Step 4: Simplify right side
    176,580.53x = 20,325,915,702.42
  5. Step 5: Solve for x
    x = 20,325,915,702.42/176,580.53
  6. Step 6: Final answer
    x = 115,108.48

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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.