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Finding the Fourth Proportional to 229,197.94, 316,298.61 and 128,603.38

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Solution

The fourth proportional to 229,197.94, 316,298.61 and 128,603.38 is: 177,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,197.94 : 316,298.61 = 128,603.38 : x
  2. Step 2: Convert to fraction form
    229,197.94/316,298.61 = 128,603.38/x
  3. Step 3: Cross multiply
    229,197.94x = 316,298.61 × 128,603.38
  4. Step 4: Simplify right side
    229,197.94x = 40,677,070,335.30
  5. Step 5: Solve for x
    x = 40,677,070,335.30/229,197.94
  6. Step 6: Final answer
    x = 177,475.72

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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.