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Finding the Fourth Proportional to 176,760, 243,928.84 and 97,272

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Solution

The fourth proportional to 176,760, 243,928.84 and 97,272 is: 134,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,760 : 243,928.84 = 97,272 : x
  2. Step 2: Convert to fraction form
    176,760/243,928.84 = 97,272/x
  3. Step 3: Cross multiply
    176,760x = 243,928.84 × 97,272
  4. Step 4: Simplify right side
    176,760x = 23,727,446,124.48
  5. Step 5: Solve for x
    x = 23,727,446,124.48/176,760
  6. Step 6: Final answer
    x = 134,235.38

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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.