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Finding the Fourth Proportional to 150,082.54, 224,925.35 and 78,859.64

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Solution

The fourth proportional to 150,082.54, 224,925.35 and 78,859.64 is: 118,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,082.54 : 224,925.35 = 78,859.64 : x
  2. Step 2: Convert to fraction form
    150,082.54/224,925.35 = 78,859.64/x
  3. Step 3: Cross multiply
    150,082.54x = 224,925.35 × 78,859.64
  4. Step 4: Simplify right side
    150,082.54x = 17,737,532,295.89
  5. Step 5: Solve for x
    x = 17,737,532,295.89/150,082.54
  6. Step 6: Final answer
    x = 118,185.18

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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.