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Finding the Fourth Proportional to 178,156.61, 245,859.66 and 97,584.14

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Solution

The fourth proportional to 178,156.61, 245,859.66 and 97,584.14 is: 134,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,156.61 : 245,859.66 = 97,584.14 : x
  2. Step 2: Convert to fraction form
    178,156.61/245,859.66 = 97,584.14/x
  3. Step 3: Cross multiply
    178,156.61x = 245,859.66 × 97,584.14
  4. Step 4: Simplify right side
    178,156.61x = 23,992,003,481.79
  5. Step 5: Solve for x
    x = 23,992,003,481.79/178,156.61
  6. Step 6: Final answer
    x = 134,668.05

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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.