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Finding the Fourth Proportional to 97,465.60, 146,198.40 and 55,329.40

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Solution

The fourth proportional to 97,465.60, 146,198.40 and 55,329.40 is: 82,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,465.60 : 146,198.40 = 55,329.40 : x
  2. Step 2: Convert to fraction form
    97,465.60/146,198.40 = 55,329.40/x
  3. Step 3: Cross multiply
    97,465.60x = 146,198.40 × 55,329.40
  4. Step 4: Simplify right side
    97,465.60x = 8,089,069,752.96
  5. Step 5: Solve for x
    x = 8,089,069,752.96/97,465.60
  6. Step 6: Final answer
    x = 82,994.10

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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.