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Finding the Fourth Proportional to 97,874.60, 146,811.90 and 83,877.80

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Solution

The fourth proportional to 97,874.60, 146,811.90 and 83,877.80 is: 125,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,874.60 : 146,811.90 = 83,877.80 : x
  2. Step 2: Convert to fraction form
    97,874.60/146,811.90 = 83,877.80/x
  3. Step 3: Cross multiply
    97,874.60x = 146,811.90 × 83,877.80
  4. Step 4: Simplify right side
    97,874.60x = 12,314,259,185.82
  5. Step 5: Solve for x
    x = 12,314,259,185.82/97,874.60
  6. Step 6: Final answer
    x = 125,816.70

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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.