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Finding the Fourth Proportional to 178,096.68, 245,801.16 and 101,615.64

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Solution

The fourth proportional to 178,096.68, 245,801.16 and 101,615.64 is: 140,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,096.68 : 245,801.16 = 101,615.64 : x
  2. Step 2: Convert to fraction form
    178,096.68/245,801.16 = 101,615.64/x
  3. Step 3: Cross multiply
    178,096.68x = 245,801.16 × 101,615.64
  4. Step 4: Simplify right side
    178,096.68x = 24,977,242,186.14
  5. Step 5: Solve for x
    x = 24,977,242,186.14/178,096.68
  6. Step 6: Final answer
    x = 140,245.41

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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.