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Finding the Fourth Proportional to 105,197.19, 157,795.80 and 26,311.42

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Solution

The fourth proportional to 105,197.19, 157,795.80 and 26,311.42 is: 39,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,197.19 : 157,795.80 = 26,311.42 : x
  2. Step 2: Convert to fraction form
    105,197.19/157,795.80 = 26,311.42/x
  3. Step 3: Cross multiply
    105,197.19x = 157,795.80 × 26,311.42
  4. Step 4: Simplify right side
    105,197.19x = 4,151,831,568.04
  5. Step 5: Solve for x
    x = 4,151,831,568.04/105,197.19
  6. Step 6: Final answer
    x = 39,467.13

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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.