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Finding the Fourth Proportional to 176,338.53, 264,517.80 and 56,406.02

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Solution

The fourth proportional to 176,338.53, 264,517.80 and 56,406.02 is: 84,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,338.53 : 264,517.80 = 56,406.02 : x
  2. Step 2: Convert to fraction form
    176,338.53/264,517.80 = 56,406.02/x
  3. Step 3: Cross multiply
    176,338.53x = 264,517.80 × 56,406.02
  4. Step 4: Simplify right side
    176,338.53x = 14,920,394,994.57
  5. Step 5: Solve for x
    x = 14,920,394,994.57/176,338.53
  6. Step 6: Final answer
    x = 84,612.22

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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.