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Finding the Fourth Proportional to 178,163.40, 245,865.38 and 97,590.20

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Solution

The fourth proportional to 178,163.40, 245,865.38 and 97,590.20 is: 134,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,163.40 : 245,865.38 = 97,590.20 : x
  2. Step 2: Convert to fraction form
    178,163.40/245,865.38 = 97,590.20/x
  3. Step 3: Cross multiply
    178,163.40x = 245,865.38 × 97,590.20
  4. Step 4: Simplify right side
    178,163.40x = 23,994,051,607.28
  5. Step 5: Solve for x
    x = 23,994,051,607.28/178,163.40
  6. Step 6: Final answer
    x = 134,674.41

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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.