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Finding the Fourth Proportional to 178,199.64, 245,913.46 and 96,526.34

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Solution

The fourth proportional to 178,199.64, 245,913.46 and 96,526.34 is: 133,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,199.64 : 245,913.46 = 96,526.34 : x
  2. Step 2: Convert to fraction form
    178,199.64/245,913.46 = 96,526.34/x
  3. Step 3: Cross multiply
    178,199.64x = 245,913.46 × 96,526.34
  4. Step 4: Simplify right side
    178,199.64x = 23,737,126,250.54
  5. Step 5: Solve for x
    x = 23,737,126,250.54/178,199.64
  6. Step 6: Final answer
    x = 133,205.24

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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.