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Finding the Fourth Proportional to 106,618.42, 159,580.40 and 78,527.40

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Solution

The fourth proportional to 106,618.42, 159,580.40 and 78,527.40 is: 117,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,618.42 : 159,580.40 = 78,527.40 : x
  2. Step 2: Convert to fraction form
    106,618.42/159,580.40 = 78,527.40/x
  3. Step 3: Cross multiply
    106,618.42x = 159,580.40 × 78,527.40
  4. Step 4: Simplify right side
    106,618.42x = 12,531,433,902.96
  5. Step 5: Solve for x
    x = 12,531,433,902.96/106,618.42
  6. Step 6: Final answer
    x = 117,535.36

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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.