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Finding the Fourth Proportional to 178,212.94, 245,902.60 and 101,697.10

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Solution

The fourth proportional to 178,212.94, 245,902.60 and 101,697.10 is: 140,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,212.94 : 245,902.60 = 101,697.10 : x
  2. Step 2: Convert to fraction form
    178,212.94/245,902.60 = 101,697.10/x
  3. Step 3: Cross multiply
    178,212.94x = 245,902.60 × 101,697.10
  4. Step 4: Simplify right side
    178,212.94x = 25,007,581,302.46
  5. Step 5: Solve for x
    x = 25,007,581,302.46/178,212.94
  6. Step 6: Final answer
    x = 140,324.16

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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.