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Finding the Fourth Proportional to 235,461.24, 324,934.76 and 128,031.34

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Solution

The fourth proportional to 235,461.24, 324,934.76 and 128,031.34 is: 176,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,461.24 : 324,934.76 = 128,031.34 : x
  2. Step 2: Convert to fraction form
    235,461.24/324,934.76 = 128,031.34/x
  3. Step 3: Cross multiply
    235,461.24x = 324,934.76 × 128,031.34
  4. Step 4: Simplify right side
    235,461.24x = 41,601,832,735.38
  5. Step 5: Solve for x
    x = 41,601,832,735.38/235,461.24
  6. Step 6: Final answer
    x = 176,682.30

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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.