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Finding the Fourth Proportional to 188,495.81, 260,082.93 and 112,040.31

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Solution

The fourth proportional to 188,495.81, 260,082.93 and 112,040.31 is: 154,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,495.81 : 260,082.93 = 112,040.31 : x
  2. Step 2: Convert to fraction form
    188,495.81/260,082.93 = 112,040.31/x
  3. Step 3: Cross multiply
    188,495.81x = 260,082.93 × 112,040.31
  4. Step 4: Simplify right side
    188,495.81x = 29,139,772,102.91
  5. Step 5: Solve for x
    x = 29,139,772,102.91/188,495.81
  6. Step 6: Final answer
    x = 154,591.09

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Why These Related Problems?

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