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Finding the Fourth Proportional to 176,551.20, 264,826.80 and 105,692.40

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Solution

The fourth proportional to 176,551.20, 264,826.80 and 105,692.40 is: 158,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,551.20 : 264,826.80 = 105,692.40 : x
  2. Step 2: Convert to fraction form
    176,551.20/264,826.80 = 105,692.40/x
  3. Step 3: Cross multiply
    176,551.20x = 264,826.80 × 105,692.40
  4. Step 4: Simplify right side
    176,551.20x = 27,990,180,076.32
  5. Step 5: Solve for x
    x = 27,990,180,076.32/176,551.20
  6. Step 6: Final answer
    x = 158,538.60

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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.