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Finding the Fourth Proportional to 176,770, 243,935.32 and 96,197.86

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Solution

The fourth proportional to 176,770, 243,935.32 and 96,197.86 is: 132,749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,770 : 243,935.32 = 96,197.86 : x
  2. Step 2: Convert to fraction form
    176,770/243,935.32 = 96,197.86/x
  3. Step 3: Cross multiply
    176,770x = 243,935.32 × 96,197.86
  4. Step 4: Simplify right side
    176,770x = 23,466,055,762.42
  5. Step 5: Solve for x
    x = 23,466,055,762.42/176,770
  6. Step 6: Final answer
    x = 132,749.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.