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Finding the Fourth Proportional to 116,152.48, 174,159 and 40,226

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Solution

The fourth proportional to 116,152.48, 174,159 and 40,226 is: 60,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,152.48 : 174,159 = 40,226 : x
  2. Step 2: Convert to fraction form
    116,152.48/174,159 = 40,226/x
  3. Step 3: Cross multiply
    116,152.48x = 174,159 × 40,226
  4. Step 4: Simplify right side
    116,152.48x = 7,005,719,934
  5. Step 5: Solve for x
    x = 7,005,719,934/116,152.48
  6. Step 6: Final answer
    x = 60,314.85

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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.