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Finding the Fourth Proportional to 222,875.40, 307,493.25 and 127,314.44

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Solution

The fourth proportional to 222,875.40, 307,493.25 and 127,314.44 is: 175,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,875.40 : 307,493.25 = 127,314.44 : x
  2. Step 2: Convert to fraction form
    222,875.40/307,493.25 = 127,314.44/x
  3. Step 3: Cross multiply
    222,875.40x = 307,493.25 × 127,314.44
  4. Step 4: Simplify right side
    222,875.40x = 39,148,330,927.53
  5. Step 5: Solve for x
    x = 39,148,330,927.53/222,875.40
  6. Step 6: Final answer
    x = 175,651.20

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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.