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Finding the Fourth Proportional to 176,750, 243,915.04 and 97,262

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Solution

The fourth proportional to 176,750, 243,915.04 and 97,262 is: 134,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,750 : 243,915.04 = 97,262 : x
  2. Step 2: Convert to fraction form
    176,750/243,915.04 = 97,262/x
  3. Step 3: Cross multiply
    176,750x = 243,915.04 × 97,262
  4. Step 4: Simplify right side
    176,750x = 23,723,664,620.48
  5. Step 5: Solve for x
    x = 23,723,664,620.48/176,750
  6. Step 6: Final answer
    x = 134,221.58

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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.