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Finding the Fourth Proportional to 270,961.84, 406,293.45 and 93,322.36

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Solution

The fourth proportional to 270,961.84, 406,293.45 and 93,322.36 is: 139,932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,961.84 : 406,293.45 = 93,322.36 : x
  2. Step 2: Convert to fraction form
    270,961.84/406,293.45 = 93,322.36/x
  3. Step 3: Cross multiply
    270,961.84x = 406,293.45 × 93,322.36
  4. Step 4: Simplify right side
    270,961.84x = 37,916,263,606.54
  5. Step 5: Solve for x
    x = 37,916,263,606.54/270,961.84
  6. Step 6: Final answer
    x = 139,932.12

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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.