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Finding the Fourth Proportional to 107,197.44, 147,931.68 and 58,800.48

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Solution

The fourth proportional to 107,197.44, 147,931.68 and 58,800.48 is: 81,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,197.44 : 147,931.68 = 58,800.48 : x
  2. Step 2: Convert to fraction form
    107,197.44/147,931.68 = 58,800.48/x
  3. Step 3: Cross multiply
    107,197.44x = 147,931.68 × 58,800.48
  4. Step 4: Simplify right side
    107,197.44x = 8,698,453,791.21
  5. Step 5: Solve for x
    x = 8,698,453,791.21/107,197.44
  6. Step 6: Final answer
    x = 81,144.23

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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.