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Finding the Fourth Proportional to 97,675.60, 146,599.80 and 83,678.80

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Solution

The fourth proportional to 97,675.60, 146,599.80 and 83,678.80 is: 125,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,675.60 : 146,599.80 = 83,678.80 : x
  2. Step 2: Convert to fraction form
    97,675.60/146,599.80 = 83,678.80/x
  3. Step 3: Cross multiply
    97,675.60x = 146,599.80 × 83,678.80
  4. Step 4: Simplify right side
    97,675.60x = 12,267,295,344.24
  5. Step 5: Solve for x
    x = 12,267,295,344.24/97,675.60
  6. Step 6: Final answer
    x = 125,592.22

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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.