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Finding the Fourth Proportional to 288,848.86, 433,167.14 and 99,255.46

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Solution

The fourth proportional to 288,848.86, 433,167.14 and 99,255.46 is: 148,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,848.86 : 433,167.14 = 99,255.46 : x
  2. Step 2: Convert to fraction form
    288,848.86/433,167.14 = 99,255.46/x
  3. Step 3: Cross multiply
    288,848.86x = 433,167.14 × 99,255.46
  4. Step 4: Simplify right side
    288,848.86x = 42,994,203,737.58
  5. Step 5: Solve for x
    x = 42,994,203,737.58/288,848.86
  6. Step 6: Final answer
    x = 148,846.71

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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.