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Finding the Fourth Proportional to 218,814.60, 328,232.70 and 113,838.60

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Solution

The fourth proportional to 218,814.60, 328,232.70 and 113,838.60 is: 170,763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,814.60 : 328,232.70 = 113,838.60 : x
  2. Step 2: Convert to fraction form
    218,814.60/328,232.70 = 113,838.60/x
  3. Step 3: Cross multiply
    218,814.60x = 328,232.70 × 113,838.60
  4. Step 4: Simplify right side
    218,814.60x = 37,365,551,042.22
  5. Step 5: Solve for x
    x = 37,365,551,042.22/218,814.60
  6. Step 6: Final answer
    x = 170,763.52

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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.