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Finding the Fourth Proportional to 141,902.34, 212,709.78 and 92,014.08

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Solution

The fourth proportional to 141,902.34, 212,709.78 and 92,014.08 is: 137,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,902.34 : 212,709.78 = 92,014.08 : x
  2. Step 2: Convert to fraction form
    141,902.34/212,709.78 = 92,014.08/x
  3. Step 3: Cross multiply
    141,902.34x = 212,709.78 × 92,014.08
  4. Step 4: Simplify right side
    141,902.34x = 19,572,294,713.70
  5. Step 5: Solve for x
    x = 19,572,294,713.70/141,902.34
  6. Step 6: Final answer
    x = 137,927.92

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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.