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Finding the Fourth Proportional to 229,308.51, 316,435.12 and 127,340.44

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Solution

The fourth proportional to 229,308.51, 316,435.12 and 127,340.44 is: 175,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,308.51 : 316,435.12 = 127,340.44 : x
  2. Step 2: Convert to fraction form
    229,308.51/316,435.12 = 127,340.44/x
  3. Step 3: Cross multiply
    229,308.51x = 316,435.12 × 127,340.44
  4. Step 4: Simplify right side
    229,308.51x = 40,294,987,412.25
  5. Step 5: Solve for x
    x = 40,294,987,412.25/229,308.51
  6. Step 6: Final answer
    x = 175,723.91

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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.