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Finding the Fourth Proportional to 97,874.40, 146,811.60 and 77,829.60

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Solution

The fourth proportional to 97,874.40, 146,811.60 and 77,829.60 is: 116,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,874.40 : 146,811.60 = 77,829.60 : x
  2. Step 2: Convert to fraction form
    97,874.40/146,811.60 = 77,829.60/x
  3. Step 3: Cross multiply
    97,874.40x = 146,811.60 × 77,829.60
  4. Step 4: Simplify right side
    97,874.40x = 11,426,288,103.36
  5. Step 5: Solve for x
    x = 11,426,288,103.36/97,874.40
  6. Step 6: Final answer
    x = 116,744.40

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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.