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Finding the Fourth Proportional to 218,322.54, 326,874.18 and 118,123.32

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Solution

The fourth proportional to 218,322.54, 326,874.18 and 118,123.32 is: 176,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,322.54 : 326,874.18 = 118,123.32 : x
  2. Step 2: Convert to fraction form
    218,322.54/326,874.18 = 118,123.32/x
  3. Step 3: Cross multiply
    218,322.54x = 326,874.18 × 118,123.32
  4. Step 4: Simplify right side
    218,322.54x = 38,611,463,363.88
  5. Step 5: Solve for x
    x = 38,611,463,363.88/218,322.54
  6. Step 6: Final answer
    x = 176,855.14

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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.