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Finding the Fourth Proportional to 178,336.14, 267,482.34 and 103,497

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Solution

The fourth proportional to 178,336.14, 267,482.34 and 103,497 is: 155,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,336.14 : 267,482.34 = 103,497 : x
  2. Step 2: Convert to fraction form
    178,336.14/267,482.34 = 103,497/x
  3. Step 3: Cross multiply
    178,336.14x = 267,482.34 × 103,497
  4. Step 4: Simplify right side
    178,336.14x = 27,683,619,742.98
  5. Step 5: Solve for x
    x = 27,683,619,742.98/178,336.14
  6. Step 6: Final answer
    x = 155,232.81

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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.