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Finding the Fourth Proportional to 307,165.23, 460,431.81 and 117,580.95

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Solution

The fourth proportional to 307,165.23, 460,431.81 and 117,580.95 is: 176,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,165.23 : 460,431.81 = 117,580.95 : x
  2. Step 2: Convert to fraction form
    307,165.23/460,431.81 = 117,580.95/x
  3. Step 3: Cross multiply
    307,165.23x = 460,431.81 × 117,580.95
  4. Step 4: Simplify right side
    307,165.23x = 54,138,009,630.02
  5. Step 5: Solve for x
    x = 54,138,009,630.02/307,165.23
  6. Step 6: Final answer
    x = 176,250.45

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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.