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Finding the Fourth Proportional to 249,180, 343,900.08 and 164,473.44

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Solution

The fourth proportional to 249,180, 343,900.08 and 164,473.44 is: 226,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,180 : 343,900.08 = 164,473.44 : x
  2. Step 2: Convert to fraction form
    249,180/343,900.08 = 164,473.44/x
  3. Step 3: Cross multiply
    249,180x = 343,900.08 × 164,473.44
  4. Step 4: Simplify right side
    249,180x = 56,562,429,173.88
  5. Step 5: Solve for x
    x = 56,562,429,173.88/249,180
  6. Step 6: Final answer
    x = 226,994.26

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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.