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Finding the Fourth Proportional to 229,724.87, 316,973.85 and 134,213.12

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Solution

The fourth proportional to 229,724.87, 316,973.85 and 134,213.12 is: 185,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,724.87 : 316,973.85 = 134,213.12 : x
  2. Step 2: Convert to fraction form
    229,724.87/316,973.85 = 134,213.12/x
  3. Step 3: Cross multiply
    229,724.87x = 316,973.85 × 134,213.12
  4. Step 4: Simplify right side
    229,724.87x = 42,542,047,782.04
  5. Step 5: Solve for x
    x = 42,542,047,782.04/229,724.87
  6. Step 6: Final answer
    x = 185,186.95

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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.