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Finding the Fourth Proportional to 178,168.17, 245,863.34 and 97,596.05

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Solution

The fourth proportional to 178,168.17, 245,863.34 and 97,596.05 is: 134,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,168.17 : 245,863.34 = 97,596.05 : x
  2. Step 2: Convert to fraction form
    178,168.17/245,863.34 = 97,596.05/x
  3. Step 3: Cross multiply
    178,168.17x = 245,863.34 × 97,596.05
  4. Step 4: Simplify right side
    178,168.17x = 23,995,291,316.47
  5. Step 5: Solve for x
    x = 23,995,291,316.47/178,168.17
  6. Step 6: Final answer
    x = 134,677.77

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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.