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Finding the Fourth Proportional to 141,264, 211,993.20 and 58,158

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Solution

The fourth proportional to 141,264, 211,993.20 and 58,158 is: 87,277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,264 : 211,993.20 = 58,158 : x
  2. Step 2: Convert to fraction form
    141,264/211,993.20 = 58,158/x
  3. Step 3: Cross multiply
    141,264x = 211,993.20 × 58,158
  4. Step 4: Simplify right side
    141,264x = 12,329,100,525.60
  5. Step 5: Solve for x
    x = 12,329,100,525.60/141,264
  6. Step 6: Final answer
    x = 87,277.02

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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.