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Finding the Fourth Proportional to 307,077.76, 460,513.77 and 117,494.02

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Solution

The fourth proportional to 307,077.76, 460,513.77 and 117,494.02 is: 176,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,077.76 : 460,513.77 = 117,494.02 : x
  2. Step 2: Convert to fraction form
    307,077.76/460,513.77 = 117,494.02/x
  3. Step 3: Cross multiply
    307,077.76x = 460,513.77 × 117,494.02
  4. Step 4: Simplify right side
    307,077.76x = 54,107,614,102.66
  5. Step 5: Solve for x
    x = 54,107,614,102.66/307,077.76
  6. Step 6: Final answer
    x = 176,201.67

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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.