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Finding the Fourth Proportional to 178,004.64, 245,644.33 and 96,331

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Solution

The fourth proportional to 178,004.64, 245,644.33 and 96,331 is: 132,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,004.64 : 245,644.33 = 96,331 : x
  2. Step 2: Convert to fraction form
    178,004.64/245,644.33 = 96,331/x
  3. Step 3: Cross multiply
    178,004.64x = 245,644.33 × 96,331
  4. Step 4: Simplify right side
    178,004.64x = 23,663,163,953.23
  5. Step 5: Solve for x
    x = 23,663,163,953.23/178,004.64
  6. Step 6: Final answer
    x = 132,935.66

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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.