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Finding the Fourth Proportional to 183,826.94, 275,763.89 and 65,510.24

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Solution

The fourth proportional to 183,826.94, 275,763.89 and 65,510.24 is: 98,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,826.94 : 275,763.89 = 65,510.24 : x
  2. Step 2: Convert to fraction form
    183,826.94/275,763.89 = 65,510.24/x
  3. Step 3: Cross multiply
    183,826.94x = 275,763.89 × 65,510.24
  4. Step 4: Simplify right side
    183,826.94x = 18,065,357,402.19
  5. Step 5: Solve for x
    x = 18,065,357,402.19/183,826.94
  6. Step 6: Final answer
    x = 98,273.72

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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.