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Finding the Fourth Proportional to 97,597.60, 146,569.20 and 75,464.80

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Solution

The fourth proportional to 97,597.60, 146,569.20 and 75,464.80 is: 113,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,597.60 : 146,569.20 = 75,464.80 : x
  2. Step 2: Convert to fraction form
    97,597.60/146,569.20 = 75,464.80/x
  3. Step 3: Cross multiply
    97,597.60x = 146,569.20 × 75,464.80
  4. Step 4: Simplify right side
    97,597.60x = 11,060,815,364.16
  5. Step 5: Solve for x
    x = 11,060,815,364.16/97,597.60
  6. Step 6: Final answer
    x = 113,330.81

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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.