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Finding the Fourth Proportional to 178,001.76, 245,697.12 and 102,600.48

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Solution

The fourth proportional to 178,001.76, 245,697.12 and 102,600.48 is: 141,620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,001.76 : 245,697.12 = 102,600.48 : x
  2. Step 2: Convert to fraction form
    178,001.76/245,697.12 = 102,600.48/x
  3. Step 3: Cross multiply
    178,001.76x = 245,697.12 × 102,600.48
  4. Step 4: Simplify right side
    178,001.76x = 25,208,642,446.62
  5. Step 5: Solve for x
    x = 25,208,642,446.62/178,001.76
  6. Step 6: Final answer
    x = 141,620.19

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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.