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Finding the Fourth Proportional to 141,913.86, 212,866.16 and 57,649.10

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Solution

The fourth proportional to 141,913.86, 212,866.16 and 57,649.10 is: 86,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,913.86 : 212,866.16 = 57,649.10 : x
  2. Step 2: Convert to fraction form
    141,913.86/212,866.16 = 57,649.10/x
  3. Step 3: Cross multiply
    141,913.86x = 212,866.16 × 57,649.10
  4. Step 4: Simplify right side
    141,913.86x = 12,271,541,191.88
  5. Step 5: Solve for x
    x = 12,271,541,191.88/141,913.86
  6. Step 6: Final answer
    x = 86,471.76

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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.