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Finding the Fourth Proportional to 224,730.14, 337,096.49 and 74,969.98

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Solution

The fourth proportional to 224,730.14, 337,096.49 and 74,969.98 is: 112,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,730.14 : 337,096.49 = 74,969.98 : x
  2. Step 2: Convert to fraction form
    224,730.14/337,096.49 = 74,969.98/x
  3. Step 3: Cross multiply
    224,730.14x = 337,096.49 × 74,969.98
  4. Step 4: Simplify right side
    224,730.14x = 25,272,117,113.37
  5. Step 5: Solve for x
    x = 25,272,117,113.37/224,730.14
  6. Step 6: Final answer
    x = 112,455.40

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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.