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Finding the Fourth Proportional to 229,972.88, 317,352 and 162,017.12

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Solution

The fourth proportional to 229,972.88, 317,352 and 162,017.12 is: 223,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,972.88 : 317,352 = 162,017.12 : x
  2. Step 2: Convert to fraction form
    229,972.88/317,352 = 162,017.12/x
  3. Step 3: Cross multiply
    229,972.88x = 317,352 × 162,017.12
  4. Step 4: Simplify right side
    229,972.88x = 51,416,457,066.24
  5. Step 5: Solve for x
    x = 51,416,457,066.24/229,972.88
  6. Step 6: Final answer
    x = 223,576.18

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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.