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Finding the Fourth Proportional to 242,692.81, 364,014.61 and 65,176.75

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Solution

The fourth proportional to 242,692.81, 364,014.61 and 65,176.75 is: 97,758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,692.81 : 364,014.61 = 65,176.75 : x
  2. Step 2: Convert to fraction form
    242,692.81/364,014.61 = 65,176.75/x
  3. Step 3: Cross multiply
    242,692.81x = 364,014.61 × 65,176.75
  4. Step 4: Simplify right side
    242,692.81x = 23,725,289,524.39
  5. Step 5: Solve for x
    x = 23,725,289,524.39/242,692.81
  6. Step 6: Final answer
    x = 97,758.52

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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.