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Finding the Fourth Proportional to 180,574.30, 249,109.82 and 116,932.60

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Solution

The fourth proportional to 180,574.30, 249,109.82 and 116,932.60 is: 161,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,574.30 : 249,109.82 = 116,932.60 : x
  2. Step 2: Convert to fraction form
    180,574.30/249,109.82 = 116,932.60/x
  3. Step 3: Cross multiply
    180,574.30x = 249,109.82 × 116,932.60
  4. Step 4: Simplify right side
    180,574.30x = 29,129,058,938.13
  5. Step 5: Solve for x
    x = 29,129,058,938.13/180,574.30
  6. Step 6: Final answer
    x = 161,313.43

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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.