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Finding the Fourth Proportional to 116,675.50, 175,039.17 and 42,803.50

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Solution

The fourth proportional to 116,675.50, 175,039.17 and 42,803.50 is: 64,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,675.50 : 175,039.17 = 42,803.50 : x
  2. Step 2: Convert to fraction form
    116,675.50/175,039.17 = 42,803.50/x
  3. Step 3: Cross multiply
    116,675.50x = 175,039.17 × 42,803.50
  4. Step 4: Simplify right side
    116,675.50x = 7,492,289,113.10
  5. Step 5: Solve for x
    x = 7,492,289,113.10/116,675.50
  6. Step 6: Final answer
    x = 64,214.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.