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Finding the Fourth Proportional to 183,069.87, 274,646.19 and 98,828.22

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Solution

The fourth proportional to 183,069.87, 274,646.19 and 98,828.22 is: 148,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,069.87 : 274,646.19 = 98,828.22 : x
  2. Step 2: Convert to fraction form
    183,069.87/274,646.19 = 98,828.22/x
  3. Step 3: Cross multiply
    183,069.87x = 274,646.19 × 98,828.22
  4. Step 4: Simplify right side
    183,069.87x = 27,142,794,087.48
  5. Step 5: Solve for x
    x = 27,142,794,087.48/183,069.87
  6. Step 6: Final answer
    x = 148,264.67

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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.