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Finding the Fourth Proportional to 191,692.94, 264,551.46 and 105,667.22

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Solution

The fourth proportional to 191,692.94, 264,551.46 and 105,667.22 is: 145,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,692.94 : 264,551.46 = 105,667.22 : x
  2. Step 2: Convert to fraction form
    191,692.94/264,551.46 = 105,667.22/x
  3. Step 3: Cross multiply
    191,692.94x = 264,551.46 × 105,667.22
  4. Step 4: Simplify right side
    191,692.94x = 27,954,416,002.38
  5. Step 5: Solve for x
    x = 27,954,416,002.38/191,692.94
  6. Step 6: Final answer
    x = 145,829.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.