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Finding the Fourth Proportional to 117,210.66, 175,824.12 and 47,089.92

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Solution

The fourth proportional to 117,210.66, 175,824.12 and 47,089.92 is: 70,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,210.66 : 175,824.12 = 47,089.92 : x
  2. Step 2: Convert to fraction form
    117,210.66/175,824.12 = 47,089.92/x
  3. Step 3: Cross multiply
    117,210.66x = 175,824.12 × 47,089.92
  4. Step 4: Simplify right side
    117,210.66x = 8,279,543,744.87
  5. Step 5: Solve for x
    x = 8,279,543,744.87/117,210.66
  6. Step 6: Final answer
    x = 70,638.15

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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.