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Finding the Fourth Proportional to 117,122.64, 175,717.20 and 47,051.20

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Solution

The fourth proportional to 117,122.64, 175,717.20 and 47,051.20 is: 70,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,122.64 : 175,717.20 = 47,051.20 : x
  2. Step 2: Convert to fraction form
    117,122.64/175,717.20 = 47,051.20/x
  3. Step 3: Cross multiply
    117,122.64x = 175,717.20 × 47,051.20
  4. Step 4: Simplify right side
    117,122.64x = 8,267,705,120.64
  5. Step 5: Solve for x
    x = 8,267,705,120.64/117,122.64
  6. Step 6: Final answer
    x = 70,590.15

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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.