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Finding the Fourth Proportional to 176,341.80, 264,626.10 and 97,512.60

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Solution

The fourth proportional to 176,341.80, 264,626.10 and 97,512.60 is: 146,331.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,341.80 : 264,626.10 = 97,512.60 : x
  2. Step 2: Convert to fraction form
    176,341.80/264,626.10 = 97,512.60/x
  3. Step 3: Cross multiply
    176,341.80x = 264,626.10 × 97,512.60
  4. Step 4: Simplify right side
    176,341.80x = 25,804,379,038.86
  5. Step 5: Solve for x
    x = 25,804,379,038.86/176,341.80
  6. Step 6: Final answer
    x = 146,331.61

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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.