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Finding the Fourth Proportional to 187,322.40, 280,983.60 and 165,671.10

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Solution

The fourth proportional to 187,322.40, 280,983.60 and 165,671.10 is: 248,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,322.40 : 280,983.60 = 165,671.10 : x
  2. Step 2: Convert to fraction form
    187,322.40/280,983.60 = 165,671.10/x
  3. Step 3: Cross multiply
    187,322.40x = 280,983.60 × 165,671.10
  4. Step 4: Simplify right side
    187,322.40x = 46,550,862,093.96
  5. Step 5: Solve for x
    x = 46,550,862,093.96/187,322.40
  6. Step 6: Final answer
    x = 248,506.65

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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.