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Finding the Fourth Proportional to 188,466.42, 260,079.28 and 102,423.36

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Solution

The fourth proportional to 188,466.42, 260,079.28 and 102,423.36 is: 141,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,466.42 : 260,079.28 = 102,423.36 : x
  2. Step 2: Convert to fraction form
    188,466.42/260,079.28 = 102,423.36/x
  3. Step 3: Cross multiply
    188,466.42x = 260,079.28 × 102,423.36
  4. Step 4: Simplify right side
    188,466.42x = 26,638,193,467.92
  5. Step 5: Solve for x
    x = 26,638,193,467.92/188,466.42
  6. Step 6: Final answer
    x = 141,341.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.