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Finding the Fourth Proportional to 117,162.92, 175,509.05 and 53,895.06

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Solution

The fourth proportional to 117,162.92, 175,509.05 and 53,895.06 is: 80,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,162.92 : 175,509.05 = 53,895.06 : x
  2. Step 2: Convert to fraction form
    117,162.92/175,509.05 = 53,895.06/x
  3. Step 3: Cross multiply
    117,162.92x = 175,509.05 × 53,895.06
  4. Step 4: Simplify right side
    117,162.92x = 9,459,071,459.18
  5. Step 5: Solve for x
    x = 9,459,071,459.18/117,162.92
  6. Step 6: Final answer
    x = 80,734.34

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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.