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Finding the Fourth Proportional to 242,567.84, 363,826.32 and 65,093.04

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Solution

The fourth proportional to 242,567.84, 363,826.32 and 65,093.04 is: 97,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,567.84 : 363,826.32 = 65,093.04 : x
  2. Step 2: Convert to fraction form
    242,567.84/363,826.32 = 65,093.04/x
  3. Step 3: Cross multiply
    242,567.84x = 363,826.32 × 65,093.04
  4. Step 4: Simplify right side
    242,567.84x = 23,682,561,200.81
  5. Step 5: Solve for x
    x = 23,682,561,200.81/242,567.84
  6. Step 6: Final answer
    x = 97,632.73

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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.