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Finding the Fourth Proportional to 97,205.80, 145,419.90 and 84,202.60

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Solution

The fourth proportional to 97,205.80, 145,419.90 and 84,202.60 is: 125,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,205.80 : 145,419.90 = 84,202.60 : x
  2. Step 2: Convert to fraction form
    97,205.80/145,419.90 = 84,202.60/x
  3. Step 3: Cross multiply
    97,205.80x = 145,419.90 × 84,202.60
  4. Step 4: Simplify right side
    97,205.80x = 12,244,733,671.74
  5. Step 5: Solve for x
    x = 12,244,733,671.74/97,205.80
  6. Step 6: Final answer
    x = 125,967.11

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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.