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Finding the Fourth Proportional to 114,462.72, 157,871.92 and 100,291.04

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Solution

The fourth proportional to 114,462.72, 157,871.92 and 100,291.04 is: 138,325.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,462.72 : 157,871.92 = 100,291.04 : x
  2. Step 2: Convert to fraction form
    114,462.72/157,871.92 = 100,291.04/x
  3. Step 3: Cross multiply
    114,462.72x = 157,871.92 × 100,291.04
  4. Step 4: Simplify right side
    114,462.72x = 15,833,139,043.60
  5. Step 5: Solve for x
    x = 15,833,139,043.60/114,462.72
  6. Step 6: Final answer
    x = 138,325.73

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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.