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Finding the Fourth Proportional to 192,686.47, 288,655.66 and 141,993.47

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Solution

The fourth proportional to 192,686.47, 288,655.66 and 141,993.47 is: 212,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,686.47 : 288,655.66 = 141,993.47 : x
  2. Step 2: Convert to fraction form
    192,686.47/288,655.66 = 141,993.47/x
  3. Step 3: Cross multiply
    192,686.47x = 288,655.66 × 141,993.47
  4. Step 4: Simplify right side
    192,686.47x = 40,987,219,165.20
  5. Step 5: Solve for x
    x = 40,987,219,165.20/192,686.47
  6. Step 6: Final answer
    x = 212,714.57

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1.5x scale

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.