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Finding the Fourth Proportional to 197,454.85, 295,913.86 and 83,507.93

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Solution

The fourth proportional to 197,454.85, 295,913.86 and 83,507.93 is: 125,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,454.85 : 295,913.86 = 83,507.93 : x
  2. Step 2: Convert to fraction form
    197,454.85/295,913.86 = 83,507.93/x
  3. Step 3: Cross multiply
    197,454.85x = 295,913.86 × 83,507.93
  4. Step 4: Simplify right side
    197,454.85x = 24,711,153,328.25
  5. Step 5: Solve for x
    x = 24,711,153,328.25/197,454.85
  6. Step 6: Final answer
    x = 125,148.38

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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.