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Finding the Fourth Proportional to 178,592.84, 246,440.14 and 106,971.02

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Solution

The fourth proportional to 178,592.84, 246,440.14 and 106,971.02 is: 147,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,592.84 : 246,440.14 = 106,971.02 : x
  2. Step 2: Convert to fraction form
    178,592.84/246,440.14 = 106,971.02/x
  3. Step 3: Cross multiply
    178,592.84x = 246,440.14 × 106,971.02
  4. Step 4: Simplify right side
    178,592.84x = 26,361,953,144.74
  5. Step 5: Solve for x
    x = 26,361,953,144.74/178,592.84
  6. Step 6: Final answer
    x = 147,609.24

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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.