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Finding the Fourth Proportional to 178,113.36, 266,824.16 and 159,185.28

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Solution

The fourth proportional to 178,113.36, 266,824.16 and 159,185.28 is: 238,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,113.36 : 266,824.16 = 159,185.28 : x
  2. Step 2: Convert to fraction form
    178,113.36/266,824.16 = 159,185.28/x
  3. Step 3: Cross multiply
    178,113.36x = 266,824.16 × 159,185.28
  4. Step 4: Simplify right side
    178,113.36x = 42,474,478,620.36
  5. Step 5: Solve for x
    x = 42,474,478,620.36/178,113.36
  6. Step 6: Final answer
    x = 238,468.80

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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.