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Finding the Fourth Proportional to 294,130.96, 441,123.54 and 83,770.72

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Solution

The fourth proportional to 294,130.96, 441,123.54 and 83,770.72 is: 125,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,130.96 : 441,123.54 = 83,770.72 : x
  2. Step 2: Convert to fraction form
    294,130.96/441,123.54 = 83,770.72/x
  3. Step 3: Cross multiply
    294,130.96x = 441,123.54 × 83,770.72
  4. Step 4: Simplify right side
    294,130.96x = 36,953,236,554.75
  5. Step 5: Solve for x
    x = 36,953,236,554.75/294,130.96
  6. Step 6: Final answer
    x = 125,635.32

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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.