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Finding the Fourth Proportional to 176,442.76, 264,629.16 and 86,446.96

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Solution

The fourth proportional to 176,442.76, 264,629.16 and 86,446.96 is: 129,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,442.76 : 264,629.16 = 86,446.96 : x
  2. Step 2: Convert to fraction form
    176,442.76/264,629.16 = 86,446.96/x
  3. Step 3: Cross multiply
    176,442.76x = 264,629.16 × 86,446.96
  4. Step 4: Simplify right side
    176,442.76x = 22,876,386,409.35
  5. Step 5: Solve for x
    x = 22,876,386,409.35/176,442.76
  6. Step 6: Final answer
    x = 129,653.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.