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Finding the Fourth Proportional to 197,455.96, 295,915.54 and 83,509.04

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Solution

The fourth proportional to 197,455.96, 295,915.54 and 83,509.04 is: 125,150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,455.96 : 295,915.54 = 83,509.04 : x
  2. Step 2: Convert to fraction form
    197,455.96/295,915.54 = 83,509.04/x
  3. Step 3: Cross multiply
    197,455.96x = 295,915.54 × 83,509.04
  4. Step 4: Simplify right side
    197,455.96x = 24,711,622,666.48
  5. Step 5: Solve for x
    x = 24,711,622,666.48/197,455.96
  6. Step 6: Final answer
    x = 125,150.05

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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.