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Finding the Fourth Proportional to 117,269.64, 175,902.80 and 28,523.32

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Solution

The fourth proportional to 117,269.64, 175,902.80 and 28,523.32 is: 42,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,269.64 : 175,902.80 = 28,523.32 : x
  2. Step 2: Convert to fraction form
    117,269.64/175,902.80 = 28,523.32/x
  3. Step 3: Cross multiply
    117,269.64x = 175,902.80 × 28,523.32
  4. Step 4: Simplify right side
    117,269.64x = 5,017,331,853.30
  5. Step 5: Solve for x
    x = 5,017,331,853.30/117,269.64
  6. Step 6: Final answer
    x = 42,784.58

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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.