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Finding the Fourth Proportional to 178,252, 245,987.76 and 106,635.04

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Solution

The fourth proportional to 178,252, 245,987.76 and 106,635.04 is: 147,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,252 : 245,987.76 = 106,635.04 : x
  2. Step 2: Convert to fraction form
    178,252/245,987.76 = 106,635.04/x
  3. Step 3: Cross multiply
    178,252x = 245,987.76 × 106,635.04
  4. Step 4: Simplify right side
    178,252x = 26,230,914,627.11
  5. Step 5: Solve for x
    x = 26,230,914,627.11/178,252
  6. Step 6: Final answer
    x = 147,156.36

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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.