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Finding the Fourth Proportional to 178,225.44, 245,898.36 and 101,742

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Solution

The fourth proportional to 178,225.44, 245,898.36 and 101,742 is: 140,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,225.44 : 245,898.36 = 101,742 : x
  2. Step 2: Convert to fraction form
    178,225.44/245,898.36 = 101,742/x
  3. Step 3: Cross multiply
    178,225.44x = 245,898.36 × 101,742
  4. Step 4: Simplify right side
    178,225.44x = 25,018,190,943.12
  5. Step 5: Solve for x
    x = 25,018,190,943.12/178,225.44
  6. Step 6: Final answer
    x = 140,373.85

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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.