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Finding the Fourth Proportional to 294,093.86, 441,157.20 and 83,715.40

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Solution

The fourth proportional to 294,093.86, 441,157.20 and 83,715.40 is: 125,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,093.86 : 441,157.20 = 83,715.40 : x
  2. Step 2: Convert to fraction form
    294,093.86/441,157.20 = 83,715.40/x
  3. Step 3: Cross multiply
    294,093.86x = 441,157.20 × 83,715.40
  4. Step 4: Simplify right side
    294,093.86x = 36,931,650,575.36
  5. Step 5: Solve for x
    x = 36,931,650,575.36/294,093.86
  6. Step 6: Final answer
    x = 125,577.77

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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.