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Finding the Fourth Proportional to 176,531.80, 264,911.10 and 97,702.60

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Solution

The fourth proportional to 176,531.80, 264,911.10 and 97,702.60 is: 146,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,531.80 : 264,911.10 = 97,702.60 : x
  2. Step 2: Convert to fraction form
    176,531.80/264,911.10 = 97,702.60/x
  3. Step 3: Cross multiply
    176,531.80x = 264,911.10 × 97,702.60
  4. Step 4: Simplify right side
    176,531.80x = 25,882,503,238.86
  5. Step 5: Solve for x
    x = 25,882,503,238.86/176,531.80
  6. Step 6: Final answer
    x = 146,616.66

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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.