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Finding the Fourth Proportional to 97,410.60, 146,288.70 and 75,277.80

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Solution

The fourth proportional to 97,410.60, 146,288.70 and 75,277.80 is: 113,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,410.60 : 146,288.70 = 75,277.80 : x
  2. Step 2: Convert to fraction form
    97,410.60/146,288.70 = 75,277.80/x
  3. Step 3: Cross multiply
    97,410.60x = 146,288.70 × 75,277.80
  4. Step 4: Simplify right side
    97,410.60x = 11,012,291,500.86
  5. Step 5: Solve for x
    x = 11,012,291,500.86/97,410.60
  6. Step 6: Final answer
    x = 113,050.24

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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.