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Finding the Fourth Proportional to 97,693.60, 146,367.60 and 83,869.60

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Solution

The fourth proportional to 97,693.60, 146,367.60 and 83,869.60 is: 125,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,693.60 : 146,367.60 = 83,869.60 : x
  2. Step 2: Convert to fraction form
    97,693.60/146,367.60 = 83,869.60/x
  3. Step 3: Cross multiply
    97,693.60x = 146,367.60 × 83,869.60
  4. Step 4: Simplify right side
    97,693.60x = 12,275,792,064.96
  5. Step 5: Solve for x
    x = 12,275,792,064.96/97,693.60
  6. Step 6: Final answer
    x = 125,656.05

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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.