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Finding the Fourth Proportional to 229,776.21, 316,935.32 and 149,059.49

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Solution

The fourth proportional to 229,776.21, 316,935.32 and 149,059.49 is: 205,600.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,776.21 : 316,935.32 = 149,059.49 : x
  2. Step 2: Convert to fraction form
    229,776.21/316,935.32 = 149,059.49/x
  3. Step 3: Cross multiply
    229,776.21x = 316,935.32 × 149,059.49
  4. Step 4: Simplify right side
    229,776.21x = 47,242,214,832.21
  5. Step 5: Solve for x
    x = 47,242,214,832.21/229,776.21
  6. Step 6: Final answer
    x = 205,600.98

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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.