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Finding the Fourth Proportional to 180,043.29, 248,447.25 and 99,470.16

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Solution

The fourth proportional to 180,043.29, 248,447.25 and 99,470.16 is: 137,261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,043.29 : 248,447.25 = 99,470.16 : x
  2. Step 2: Convert to fraction form
    180,043.29/248,447.25 = 99,470.16/x
  3. Step 3: Cross multiply
    180,043.29x = 248,447.25 × 99,470.16
  4. Step 4: Simplify right side
    180,043.29x = 24,713,087,709.06
  5. Step 5: Solve for x
    x = 24,713,087,709.06/180,043.29
  6. Step 6: Final answer
    x = 137,261.92

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