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Finding the Fourth Proportional to 229,682.28, 316,975.87 and 127,730.52

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Solution

The fourth proportional to 229,682.28, 316,975.87 and 127,730.52 is: 176,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,682.28 : 316,975.87 = 127,730.52 : x
  2. Step 2: Convert to fraction form
    229,682.28/316,975.87 = 127,730.52/x
  3. Step 3: Cross multiply
    229,682.28x = 316,975.87 × 127,730.52
  4. Step 4: Simplify right side
    229,682.28x = 40,487,490,479.02
  5. Step 5: Solve for x
    x = 40,487,490,479.02/229,682.28
  6. Step 6: Final answer
    x = 176,276.07

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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.