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Finding the Fourth Proportional to 262,702.80, 362,538.81 and 155,364.84

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Solution

The fourth proportional to 262,702.80, 362,538.81 and 155,364.84 is: 214,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,702.80 : 362,538.81 = 155,364.84 : x
  2. Step 2: Convert to fraction form
    262,702.80/362,538.81 = 155,364.84/x
  3. Step 3: Cross multiply
    262,702.80x = 362,538.81 × 155,364.84
  4. Step 4: Simplify right side
    262,702.80x = 56,325,784,209.44
  5. Step 5: Solve for x
    x = 56,325,784,209.44/262,702.80
  6. Step 6: Final answer
    x = 214,408.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.