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Finding the Fourth Proportional to 229,202.28, 316,298.04 and 127,228.98

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Solution

The fourth proportional to 229,202.28, 316,298.04 and 127,228.98 is: 175,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,202.28 : 316,298.04 = 127,228.98 : x
  2. Step 2: Convert to fraction form
    229,202.28/316,298.04 = 127,228.98/x
  3. Step 3: Cross multiply
    229,202.28x = 316,298.04 × 127,228.98
  4. Step 4: Simplify right side
    229,202.28x = 40,242,277,005.20
  5. Step 5: Solve for x
    x = 40,242,277,005.20/229,202.28
  6. Step 6: Final answer
    x = 175,575.38

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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.