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Finding the Fourth Proportional to 209,101.60, 313,664.42 and 59,330.17

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Solution

The fourth proportional to 209,101.60, 313,664.42 and 59,330.17 is: 88,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,101.60 : 313,664.42 = 59,330.17 : x
  2. Step 2: Convert to fraction form
    209,101.60/313,664.42 = 59,330.17/x
  3. Step 3: Cross multiply
    209,101.60x = 313,664.42 × 59,330.17
  4. Step 4: Simplify right side
    209,101.60x = 18,609,763,361.55
  5. Step 5: Solve for x
    x = 18,609,763,361.55/209,101.60
  6. Step 6: Final answer
    x = 88,998.67

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1.5x scale

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.