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Finding the Fourth Proportional to 294,167.46, 441,178.29 and 83,807.22

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Solution

The fourth proportional to 294,167.46, 441,178.29 and 83,807.22 is: 125,690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,167.46 : 441,178.29 = 83,807.22 : x
  2. Step 2: Convert to fraction form
    294,167.46/441,178.29 = 83,807.22/x
  3. Step 3: Cross multiply
    294,167.46x = 441,178.29 × 83,807.22
  4. Step 4: Simplify right side
    294,167.46x = 36,973,926,009.25
  5. Step 5: Solve for x
    x = 36,973,926,009.25/294,167.46
  6. Step 6: Final answer
    x = 125,690.06

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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.