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Finding the Fourth Proportional to 294,130.71, 441,123.17 and 83,770.47

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Solution

The fourth proportional to 294,130.71, 441,123.17 and 83,770.47 is: 125,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,130.71 : 441,123.17 = 83,770.47 : x
  2. Step 2: Convert to fraction form
    294,130.71/441,123.17 = 83,770.47/x
  3. Step 3: Cross multiply
    294,130.71x = 441,123.17 × 83,770.47
  4. Step 4: Simplify right side
    294,130.71x = 36,953,094,859.94
  5. Step 5: Solve for x
    x = 36,953,094,859.94/294,130.71
  6. Step 6: Final answer
    x = 125,634.94

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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.