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Finding the Fourth Proportional to 155,147.82, 232,689.06 and 70,884.06

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Solution

The fourth proportional to 155,147.82, 232,689.06 and 70,884.06 is: 106,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,147.82 : 232,689.06 = 70,884.06 : x
  2. Step 2: Convert to fraction form
    155,147.82/232,689.06 = 70,884.06/x
  3. Step 3: Cross multiply
    155,147.82x = 232,689.06 × 70,884.06
  4. Step 4: Simplify right side
    155,147.82x = 16,493,945,290.38
  5. Step 5: Solve for x
    x = 16,493,945,290.38/155,147.82
  6. Step 6: Final answer
    x = 106,311.16

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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.