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Finding the Fourth Proportional to 229,844, 344,882.64 and 105,216.32

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Solution

The fourth proportional to 229,844, 344,882.64 and 105,216.32 is: 157,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,844 : 344,882.64 = 105,216.32 : x
  2. Step 2: Convert to fraction form
    229,844/344,882.64 = 105,216.32/x
  3. Step 3: Cross multiply
    229,844x = 344,882.64 × 105,216.32
  4. Step 4: Simplify right side
    229,844x = 36,287,282,212.68
  5. Step 5: Solve for x
    x = 36,287,282,212.68/229,844
  6. Step 6: Final answer
    x = 157,877.87

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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.