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Finding the Fourth Proportional to 164,709.60, 247,064.40 and 146,994.90

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Solution

The fourth proportional to 164,709.60, 247,064.40 and 146,994.90 is: 220,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,709.60 : 247,064.40 = 146,994.90 : x
  2. Step 2: Convert to fraction form
    164,709.60/247,064.40 = 146,994.90/x
  3. Step 3: Cross multiply
    164,709.60x = 247,064.40 × 146,994.90
  4. Step 4: Simplify right side
    164,709.60x = 36,317,206,771.56
  5. Step 5: Solve for x
    x = 36,317,206,771.56/164,709.60
  6. Step 6: Final answer
    x = 220,492.35

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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.