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Finding the Fourth Proportional to 249,692.64, 344,491.44 and 142,186.44

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Solution

The fourth proportional to 249,692.64, 344,491.44 and 142,186.44 is: 196,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,692.64 : 344,491.44 = 142,186.44 : x
  2. Step 2: Convert to fraction form
    249,692.64/344,491.44 = 142,186.44/x
  3. Step 3: Cross multiply
    249,692.64x = 344,491.44 × 142,186.44
  4. Step 4: Simplify right side
    249,692.64x = 48,982,011,464.07
  5. Step 5: Solve for x
    x = 48,982,011,464.07/249,692.64
  6. Step 6: Final answer
    x = 196,169.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.